Fórum PiR2
Gostaria de reagir a esta mensagem? Crie uma conta em poucos cliques ou inicie sessão para continuar.

Sistema de Equações exponenciais.

4 participantes

Página 2 de 2 Anterior  1, 2

Ir para baixo

Resolvido Sistema de Equações exponenciais.

Mensagem por Floral Fury Qui 25 Nov 2021, 11:49

Relembrando a primeira mensagem :

Sistema de Equações exponenciais.  - Página 2 Svg+xml;base64,<?xml version='1.0' encoding='UTF-8'?>
<!-- Generated by CodeCogs with dvisvgm 2.9.1 -->
<svg version='1.1' xmlns='http://www.w3.org/2000/svg' xmlns:xlink='http://www.w3.org/1999/xlink' width='172.15087pt' height='40.514511pt' viewBox='-.239051 -.22797 172.15087 40.514511'>
<defs>
<path id='g1-1' d='M2.295392-2.988792C2.295392-3.335492 2.008468-3.622416 1.661768-3.622416S1.028144-3.335492 1.028144-2.988792S1.315068-2.355168 1.661768-2.355168S2.295392-2.642092 2.295392-2.988792Z'/>
<path id='g5-40' d='M3.88543 2.905106C3.88543 2.86924 3.88543 2.84533 3.682192 2.642092C2.486675 1.43462 1.817186-.537983 1.817186-2.976837C1.817186-5.296139 2.379078-7.292653 3.765878-8.703362C3.88543-8.810959 3.88543-8.834869 3.88543-8.870735C3.88543-8.942466 3.825654-8.966376 3.777833-8.966376C3.622416-8.966376 2.642092-8.105604 2.056289-6.933998C1.446575-5.726526 1.171606-4.447323 1.171606-2.976837C1.171606-1.912827 1.338979-.490162 1.960648 .789041C2.666002 2.223661 3.646326 3.000747 3.777833 3.000747C3.825654 3.000747 3.88543 2.976837 3.88543 2.905106Z'/>
<path id='g5-41' d='M3.371357-2.976837C3.371357-3.88543 3.251806-5.36787 2.582316-6.75467C1.876961-8.18929 .896638-8.966376 .765131-8.966376C.71731-8.966376 .657534-8.942466 .657534-8.870735C.657534-8.834869 .657534-8.810959 .860772-8.607721C2.056289-7.400249 2.725778-5.427646 2.725778-2.988792C2.725778-.669489 2.163885 1.327024 .777086 2.737733C.657534 2.84533 .657534 2.86924 .657534 2.905106C.657534 2.976837 .71731 3.000747 .765131 3.000747C.920548 3.000747 1.900872 2.139975 2.486675 .968369C3.096389-.251059 3.371357-1.542217 3.371357-2.976837Z'/>
<path id='g5-43' d='M4.770112-2.761644H8.069738C8.237111-2.761644 8.452304-2.761644 8.452304-2.976837C8.452304-3.203985 8.249066-3.203985 8.069738-3.203985H4.770112V-6.503611C4.770112-6.670984 4.770112-6.886177 4.554919-6.886177C4.327771-6.886177 4.327771-6.682939 4.327771-6.503611V-3.203985H1.028144C.860772-3.203985 .645579-3.203985 .645579-2.988792C.645579-2.761644 .848817-2.761644 1.028144-2.761644H4.327771V.537983C4.327771 .705355 4.327771 .920548 4.542964 .920548C4.770112 .920548 4.770112 .71731 4.770112 .537983V-2.761644Z'/>
<path id='g5-48' d='M5.355915-3.825654C5.355915-4.817933 5.296139-5.786301 4.865753-6.694894C4.375592-7.687173 3.514819-7.950187 2.929016-7.950187C2.235616-7.950187 1.3868-7.603487 .944458-6.611208C.609714-5.858032 .490162-5.116812 .490162-3.825654C.490162-2.666002 .573848-1.793275 1.004234-.944458C1.470486-.035866 2.295392 .251059 2.917061 .251059C3.957161 .251059 4.554919-.37061 4.901619-1.06401C5.332005-1.960648 5.355915-3.132254 5.355915-3.825654ZM2.917061 .011955C2.534496 .011955 1.75741-.203238 1.530262-1.506351C1.398755-2.223661 1.398755-3.132254 1.398755-3.969116C1.398755-4.94944 1.398755-5.834122 1.590037-6.539477C1.793275-7.340473 2.402989-7.711083 2.917061-7.711083C3.371357-7.711083 4.064757-7.436115 4.291905-6.40797C4.447323-5.726526 4.447323-4.782067 4.447323-3.969116C4.447323-3.16812 4.447323-2.259527 4.315816-1.530262C4.088667-.215193 3.335492 .011955 2.917061 .011955Z'/>
<path id='g5-49' d='M3.443088-7.663263C3.443088-7.938232 3.443088-7.950187 3.203985-7.950187C2.917061-7.627397 2.319303-7.185056 1.08792-7.185056V-6.838356C1.362889-6.838356 1.960648-6.838356 2.618182-7.149191V-.920548C2.618182-.490162 2.582316-.3467 1.530262-.3467H1.159651V0C1.482441-.02391 2.642092-.02391 3.036613-.02391S4.578829-.02391 4.901619 0V-.3467H4.531009C3.478954-.3467 3.443088-.490162 3.443088-.920548V-7.663263Z'/>
<path id='g5-50' d='M5.260274-2.008468H4.99726C4.961395-1.80523 4.865753-1.147696 4.746202-.956413C4.662516-.848817 3.981071-.848817 3.622416-.848817H1.41071C1.733499-1.123786 2.462765-1.888917 2.773599-2.175841C4.590785-3.849564 5.260274-4.471233 5.260274-5.654795C5.260274-7.029639 4.172354-7.950187 2.785554-7.950187S.585803-6.766625 .585803-5.738481C.585803-5.128767 1.111831-5.128767 1.147696-5.128767C1.398755-5.128767 1.709589-5.308095 1.709589-5.69066C1.709589-6.025405 1.482441-6.252553 1.147696-6.252553C1.0401-6.252553 1.016189-6.252553 .980324-6.240598C1.207472-7.053549 1.853051-7.603487 2.630137-7.603487C3.646326-7.603487 4.267995-6.75467 4.267995-5.654795C4.267995-4.638605 3.682192-3.753923 3.000747-2.988792L.585803-.286924V0H4.94944L5.260274-2.008468Z'/>
<path id='g5-52' d='M4.315816-7.782814C4.315816-8.009963 4.315816-8.069738 4.148443-8.069738C4.052802-8.069738 4.016936-8.069738 3.921295-7.926276L.32279-2.343213V-1.996513H3.466999V-.908593C3.466999-.466252 3.443088-.3467 2.570361-.3467H2.331258V0C2.606227-.02391 3.550685-.02391 3.88543-.02391S5.176588-.02391 5.451557 0V-.3467H5.212453C4.351681-.3467 4.315816-.466252 4.315816-.908593V-1.996513H5.523288V-2.343213H4.315816V-7.782814ZM3.526775-6.850311V-2.343213H.621669L3.526775-6.850311Z'/>
<path id='g5-61' d='M8.069738-3.873474C8.237111-3.873474 8.452304-3.873474 8.452304-4.088667C8.452304-4.315816 8.249066-4.315816 8.069738-4.315816H1.028144C.860772-4.315816 .645579-4.315816 .645579-4.100623C.645579-3.873474 .848817-3.873474 1.028144-3.873474H8.069738ZM8.069738-1.649813C8.237111-1.649813 8.452304-1.649813 8.452304-1.865006C8.452304-2.092154 8.249066-2.092154 8.069738-2.092154H1.028144C.860772-2.092154 .645579-2.092154 .645579-1.876961C.645579-1.649813 .848817-1.649813 1.028144-1.649813H8.069738Z'/>
<path id='g5-91' d='M2.988792 2.988792V2.546451H1.829141V-8.524035H2.988792V-8.966376H1.3868V2.988792H2.988792Z'/>
<path id='g5-93' d='M1.853051-8.966376H.251059V-8.524035H1.41071V2.546451H.251059V2.988792H1.853051V-8.966376Z'/>
<path id='g2-120' d='M3.36538-2.349191C3.156164-2.289415 3.108344-2.116065 3.108344-2.026401C3.108344-1.835118 3.263761-1.793275 3.347447-1.793275C3.520797-1.793275 3.694147-1.936737 3.694147-2.169863C3.694147-2.492653 3.341469-2.636115 3.036613-2.636115C2.642092-2.636115 2.402989-2.331258 2.337235-2.217684C2.259527-2.367123 2.032379-2.636115 1.58406-2.636115C.896638-2.636115 .490162-1.924782 .490162-1.715567C.490162-1.685679 .514072-1.63188 .597758-1.63188S.699377-1.667746 .71731-1.721544C.86675-2.205729 1.273225-2.438854 1.566127-2.438854S1.948692-2.247572 1.948692-2.050311C1.948692-1.97858 1.948692-1.924782 1.900872-1.739477C1.763387-1.183562 1.63188-.639601 1.601993-.56787C1.512329-.340722 1.297136-.137484 1.046077-.137484C1.010212-.137484 .842839-.137484 .705355-.227148C.938481-.304857 .962391-.502117 .962391-.549938C.962391-.705355 .842839-.783064 .723288-.783064C.555915-.783064 .376588-.651557 .376588-.406476C.376588-.065753 .753176 .059776 1.034122 .059776C1.374844 .059776 1.619925-.17335 1.733499-.358655C1.853051-.107597 2.139975 .059776 2.480697 .059776C3.186052 .059776 3.580573-.663512 3.580573-.860772C3.580573-.872727 3.574595-.944458 3.466999-.944458C3.383313-.944458 3.371357-.902615 3.353425-.848817C3.180075-.328767 2.755666-.137484 2.504608-.137484C2.27746-.137484 2.116065-.268991 2.116065-.52005C2.116065-.633624 2.145953-.765131 2.199751-.974346L2.391034-1.751432C2.450809-1.984558 2.480697-2.092154 2.606227-2.235616C2.689913-2.32528 2.833375-2.438854 3.024658-2.438854C3.054545-2.438854 3.233873-2.438854 3.36538-2.349191Z'/>
<path id='g2-121' d='M3.56264-2.295392C3.574595-2.337235 3.580573-2.361146 3.580573-2.379078C3.580573-2.450809 3.526775-2.576339 3.36538-2.576339C3.263761-2.576339 3.162142-2.510585 3.120299-2.426899C3.096389-2.385056 3.054545-2.199751 3.024658-2.086177L2.899128-1.590037L2.713823-.842839C2.67198-.675467 2.64807-.579826 2.408966-.352677C2.343213-.292902 2.15193-.137484 1.894894-.137484C1.452553-.137484 1.452553-.526027 1.452553-.633624C1.452553-.896638 1.524284-1.165629 1.787298-1.823163C1.847073-1.966625 1.865006-2.008468 1.865006-2.116065C1.865006-2.450809 1.566127-2.636115 1.267248-2.636115C.657534-2.636115 .364633-1.847073 .364633-1.715567C.364633-1.685679 .388543-1.63188 .472229-1.63188S.573848-1.667746 .591781-1.721544C.759153-2.30137 1.075965-2.438854 1.243337-2.438854C1.362889-2.438854 1.404732-2.361146 1.404732-2.223661C1.404732-2.098132 1.327024-1.894894 1.26127-1.733499C1.052055-1.207472 .980324-.932503 .980324-.71731C.980324-.14944 1.404732 .059776 1.870984 .059776C1.95467 .059776 2.235616 .059776 2.552428-.215193C2.47472 .113574 2.420922 .3467 2.133998 .657534C2.026401 .777086 1.75741 1.022167 1.398755 1.022167C1.344956 1.022167 1.08792 1.016189 .950436 .860772C1.21345 .812951 1.249315 .579826 1.249315 .526027C1.249315 .364633 1.117808 .298879 1.004234 .298879C.854795 .298879 .657534 .418431 .657534 .6934C.657534 .980324 .938481 1.219427 1.404732 1.219427C2.038356 1.219427 2.803487 .753176 2.988792 .005978L3.56264-2.295392Z'/>
<path id='g3-103' d='M3.953176-2.940971C3.985056-3.060523 3.985056-3.108344 3.985056-3.116314C3.985056-3.299626 3.833624-3.363387 3.730012-3.363387C3.5467-3.363387 3.403238-3.219925 3.371357-3.052553C3.307597-3.172105 3.068493-3.514819 2.590286-3.514819C1.641843-3.514819 .605729-2.454795 .605729-1.291158C.605729-.430386 1.171606 0 1.761395 0C2.12802 0 2.454795-.199253 2.717808-.430386L2.542466 .286924C2.454795 .621669 2.399004 .852802 2.088169 1.115816C1.753425 1.40274 1.45056 1.40274 1.251308 1.40274S.860772 1.39477 .669489 1.354919C.844832 1.259278 .924533 1.091905 .924533 .956413C.924533 .765131 .781071 .661519 .613699 .661519C.414446 .661519 .167372 .820922 .167372 1.139726C.167372 1.594022 .789041 1.625903 1.267248 1.625903C2.399004 1.625903 2.964882 1.020174 3.084433 .533998L3.953176-2.940971ZM2.87721-1.052055C2.82142-.828892 2.646077-.669489 2.478705-.518057C2.406974-.462267 2.10411-.223163 1.777335-.223163C1.458531-.223163 1.227397-.486177 1.227397-.964384C1.227397-1.299128 1.42665-2.16787 1.641843-2.574346C1.896887-3.028643 2.271482-3.291656 2.590286-3.291656C3.124284-3.291656 3.267746-2.701868 3.267746-2.630137L3.243836-2.518555L2.87721-1.052055Z'/>
<path id='g3-108' d='M2.088169-5.292154C2.096139-5.308095 2.12005-5.411706 2.12005-5.419676C2.12005-5.459527 2.088169-5.531258 1.992528-5.531258L1.187547-5.467497C.892653-5.443587 .828892-5.435616 .828892-5.292154C.828892-5.180573 .940473-5.180573 1.036115-5.180573C1.41868-5.180573 1.41868-5.132752 1.41868-5.061021C1.41868-5.037111 1.41868-5.021171 1.378829-4.877709L.390535-.924533C.358655-.797011 .358655-.67746 .358655-.669489C.358655-.175342 .765131 .079701 1.163636 .079701C1.506351 .079701 1.689664-.191283 1.777335-.366625C1.920797-.629639 2.040349-1.099875 2.040349-1.139726C2.040349-1.187547 2.016438-1.243337 1.912827-1.243337C1.841096-1.243337 1.817186-1.203487 1.817186-1.195517C1.801245-1.171606 1.761395-1.028144 1.737484-.940473C1.617933-.478207 1.466501-.143462 1.179577-.143462C.988294-.143462 .932503-.326775 .932503-.518057C.932503-.669489 .956413-.757161 .980324-.860772L2.088169-5.292154Z'/>
<path id='g3-111' d='M3.969116-2.13599C3.969116-2.917061 3.411208-3.514819 2.582316-3.514819C1.45056-3.514819 .350685-2.414944 .350685-1.299128C.350685-.486177 .924533 .079701 1.737484 .079701C2.87721 .079701 3.969116-1.036115 3.969116-2.13599ZM1.745455-.143462C1.466501-.143462 .996264-.286924 .996264-1.020174C.996264-1.346949 1.147696-2.207721 1.530262-2.701868C1.920797-3.203985 2.359153-3.291656 2.574346-3.291656C2.901121-3.291656 3.323537-3.092403 3.323537-2.422914C3.323537-2.10411 3.180075-1.346949 2.87721-.868742C2.582316-.414446 2.14396-.143462 1.745455-.143462Z'/>
<path id='g3-120' d='M3.993026-3.180075C3.642341-3.092403 3.626401-2.781569 3.626401-2.749689C3.626401-2.574346 3.761893-2.454795 3.937235-2.454795S4.383562-2.590286 4.383562-2.933001C4.383562-3.387298 3.881445-3.514819 3.58655-3.514819C3.211955-3.514819 2.909091-3.251806 2.725778-2.940971C2.550436-3.363387 2.13599-3.514819 1.809215-3.514819C.940473-3.514819 .454296-2.518555 .454296-2.295392C.454296-2.223661 .510087-2.191781 .573848-2.191781C.669489-2.191781 .68543-2.231631 .70934-2.327273C.892653-2.909091 1.370859-3.291656 1.785305-3.291656C2.096139-3.291656 2.247572-3.068493 2.247572-2.781569C2.247572-2.622167 2.15193-2.255542 2.088169-2.000498C2.032379-1.769365 1.857036-1.060025 1.817186-.908593C1.705604-.478207 1.41868-.143462 1.060025-.143462C1.028144-.143462 .820922-.143462 .653549-.255044C1.020174-.342715 1.020174-.67746 1.020174-.68543C1.020174-.868742 .876712-.980324 .70137-.980324C.486177-.980324 .255044-.797011 .255044-.494147C.255044-.127522 .645579 .079701 1.052055 .079701C1.474471 .079701 1.769365-.239103 1.912827-.494147C2.088169-.103611 2.454795 .079701 2.83736 .079701C3.706102 .079701 4.184309-.916563 4.184309-1.139726C4.184309-1.219427 4.120548-1.243337 4.064757-1.243337C3.969116-1.243337 3.953176-1.187547 3.929265-1.107846C3.769863-.573848 3.315567-.143462 2.8533-.143462C2.590286-.143462 2.399004-.318804 2.399004-.653549C2.399004-.812951 2.446824-.996264 2.558406-1.44259C2.614197-1.681694 2.789539-2.383064 2.82939-2.534496C2.940971-2.948941 3.219925-3.291656 3.57858-3.291656C3.618431-3.291656 3.825654-3.291656 3.993026-3.180075Z'/>
<path id='g3-121' d='M4.128518-3.004732C4.160399-3.116314 4.160399-3.132254 4.160399-3.188045C4.160399-3.387298 4.000996-3.435118 3.905355-3.435118C3.865504-3.435118 3.682192-3.427148 3.57858-3.219925C3.56264-3.180075 3.490909-2.893151 3.451059-2.725778L2.972852-.812951C2.964882-.789041 2.622167-.143462 2.040349-.143462C1.649813-.143462 1.514321-.430386 1.514321-.789041C1.514321-1.251308 1.785305-1.960648 1.968618-2.422914C2.048319-2.622167 2.072229-2.693898 2.072229-2.83736C2.072229-3.275716 1.721544-3.514819 1.354919-3.514819C.565878-3.514819 .239103-2.391034 .239103-2.295392C.239103-2.223661 .294894-2.191781 .358655-2.191781C.462267-2.191781 .470237-2.239601 .494147-2.319303C.70137-3.012702 1.044085-3.291656 1.331009-3.291656C1.45056-3.291656 1.522291-3.211955 1.522291-3.028643C1.522291-2.86127 1.458531-2.677958 1.40274-2.534496C1.075965-1.689664 .940473-1.283188 .940473-.908593C.940473-.127522 1.530262 .079701 2.000498 .079701C2.375093 .079701 2.646077-.087671 2.83736-.270984C2.725778 .175342 2.646077 .486177 2.343213 .868742C2.080199 1.195517 1.761395 1.40274 1.40274 1.40274C1.267248 1.40274 .964384 1.378829 .804981 1.139726C1.227397 1.107846 1.259278 .749191 1.259278 .70137C1.259278 .510087 1.115816 .406476 .948443 .406476C.773101 .406476 .494147 .541968 .494147 .932503C.494147 1.307098 .836862 1.625903 1.40274 1.625903C2.215691 1.625903 3.132254 .972354 3.371357 .00797L4.128518-3.004732Z'/>
<path id='g4-103' d='M4.040847-1.518306C3.993026-1.327024 3.969116-1.279203 3.813699-1.099875C3.323537-.466252 2.82142-.239103 2.450809-.239103C2.056289-.239103 1.685679-.549938 1.685679-1.374844C1.685679-2.008468 2.044334-3.347447 2.307347-3.88543C2.654047-4.554919 3.19203-5.033126 3.694147-5.033126C4.483188-5.033126 4.638605-4.052802 4.638605-3.981071L4.60274-3.813699L4.040847-1.518306ZM4.782067-4.483188C4.62665-4.829888 4.291905-5.272229 3.694147-5.272229C2.391034-5.272229 .908593-3.634371 .908593-1.853051C.908593-.609714 1.661768 0 2.426899 0C3.060523 0 3.622416-.502117 3.837609-.74122L3.574595 .334745C3.407223 .992279 3.335492 1.291158 2.905106 1.709589C2.414944 2.199751 1.960648 2.199751 1.697634 2.199751C1.338979 2.199751 1.0401 2.175841 .74122 2.080199C1.123786 1.972603 1.219427 1.637858 1.219427 1.506351C1.219427 1.315068 1.075965 1.123786 .812951 1.123786C.526027 1.123786 .215193 1.362889 .215193 1.75741C.215193 2.247572 .705355 2.438854 1.721544 2.438854C3.263761 2.438854 4.064757 1.446575 4.220174 .800996L5.547198-4.554919C5.583064-4.698381 5.583064-4.722291 5.583064-4.746202C5.583064-4.913574 5.451557-5.045081 5.272229-5.045081C4.985305-5.045081 4.817933-4.805978 4.782067-4.483188Z'/>
<path id='g4-108' d='M3.036613-7.998007C3.048568-8.045828 3.072478-8.117559 3.072478-8.177335C3.072478-8.296887 2.952927-8.296887 2.929016-8.296887C2.917061-8.296887 2.486675-8.261021 2.271482-8.237111C2.068244-8.225156 1.888917-8.201245 1.673724-8.18929C1.3868-8.16538 1.303113-8.153425 1.303113-7.938232C1.303113-7.81868 1.422665-7.81868 1.542217-7.81868C2.15193-7.81868 2.15193-7.711083 2.15193-7.591532C2.15193-7.543711 2.15193-7.519801 2.092154-7.304608L.609714-1.374844C.573848-1.243337 .549938-1.147696 .549938-.956413C.549938-.358655 .992279 .119552 1.601993 .119552C1.996513 .119552 2.259527-.143462 2.450809-.514072C2.654047-.908593 2.82142-1.661768 2.82142-1.709589C2.82142-1.769365 2.773599-1.817186 2.701868-1.817186C2.594271-1.817186 2.582316-1.75741 2.534496-1.578082C2.319303-.753176 2.10411-.119552 1.625903-.119552C1.267248-.119552 1.267248-.502117 1.267248-.669489C1.267248-.71731 1.267248-.968369 1.350934-1.303113L3.036613-7.998007Z'/>
<path id='g4-111' d='M5.451557-3.287671C5.451557-4.423412 4.710336-5.272229 3.622416-5.272229C2.044334-5.272229 .490162-3.550685 .490162-1.865006C.490162-.729265 1.231382 .119552 2.319303 .119552C3.90934 .119552 5.451557-1.601993 5.451557-3.287671ZM2.331258-.119552C1.733499-.119552 1.291158-.597758 1.291158-1.43462C1.291158-1.984558 1.578082-3.203985 1.912827-3.801743C2.450809-4.722291 3.120299-5.033126 3.610461-5.033126C4.196264-5.033126 4.65056-4.554919 4.65056-3.718057C4.65056-3.239851 4.399502-1.960648 3.945205-1.231382C3.455044-.430386 2.797509-.119552 2.331258-.119552Z'/>
<path id='g4-120' d='M5.66675-4.877709C5.284184-4.805978 5.140722-4.519054 5.140722-4.291905C5.140722-4.004981 5.36787-3.90934 5.535243-3.90934C5.893898-3.90934 6.144956-4.220174 6.144956-4.542964C6.144956-5.045081 5.571108-5.272229 5.068991-5.272229C4.339726-5.272229 3.93325-4.554919 3.825654-4.327771C3.550685-5.224408 2.809465-5.272229 2.594271-5.272229C1.374844-5.272229 .729265-3.706102 .729265-3.443088C.729265-3.395268 .777086-3.335492 .860772-3.335492C.956413-3.335492 .980324-3.407223 1.004234-3.455044C1.41071-4.782067 2.211706-5.033126 2.558406-5.033126C3.096389-5.033126 3.203985-4.531009 3.203985-4.244085C3.203985-3.981071 3.132254-3.706102 2.988792-3.132254L2.582316-1.494396C2.402989-.777086 2.056289-.119552 1.422665-.119552C1.362889-.119552 1.06401-.119552 .812951-.274969C1.243337-.358655 1.338979-.71731 1.338979-.860772C1.338979-1.099875 1.159651-1.243337 .932503-1.243337C.645579-1.243337 .334745-.992279 .334745-.609714C.334745-.107597 .896638 .119552 1.41071 .119552C1.984558 .119552 2.391034-.334745 2.642092-.824907C2.833375-.119552 3.431133 .119552 3.873474 .119552C5.092902 .119552 5.738481-1.446575 5.738481-1.709589C5.738481-1.769365 5.69066-1.817186 5.618929-1.817186C5.511333-1.817186 5.499377-1.75741 5.463512-1.661768C5.140722-.609714 4.447323-.119552 3.90934-.119552C3.490909-.119552 3.263761-.430386 3.263761-.920548C3.263761-1.183562 3.311582-1.374844 3.502864-2.163885L3.921295-3.789788C4.100623-4.507098 4.507098-5.033126 5.057036-5.033126C5.080946-5.033126 5.415691-5.033126 5.66675-4.877709Z'/>
<path id='g4-121' d='M3.144209 1.338979C2.82142 1.793275 2.355168 2.199751 1.769365 2.199751C1.625903 2.199751 1.052055 2.175841 .872727 1.625903C.908593 1.637858 .968369 1.637858 .992279 1.637858C1.350934 1.637858 1.590037 1.327024 1.590037 1.052055S1.362889 .681445 1.183562 .681445C.992279 .681445 .573848 .824907 .573848 1.41071C.573848 2.020423 1.08792 2.438854 1.769365 2.438854C2.964882 2.438854 4.172354 1.338979 4.507098 .011955L5.678705-4.65056C5.69066-4.710336 5.71457-4.782067 5.71457-4.853798C5.71457-5.033126 5.571108-5.152677 5.391781-5.152677C5.284184-5.152677 5.033126-5.104857 4.937484-4.746202L4.052802-1.231382C3.993026-1.016189 3.993026-.992279 3.897385-.860772C3.658281-.526027 3.263761-.119552 2.689913-.119552C2.020423-.119552 1.960648-.777086 1.960648-1.099875C1.960648-1.78132 2.283437-2.701868 2.606227-3.56264C2.737733-3.90934 2.809465-4.076712 2.809465-4.315816C2.809465-4.817933 2.450809-5.272229 1.865006-5.272229C.765131-5.272229 .32279-3.53873 .32279-3.443088C.32279-3.395268 .37061-3.335492 .454296-3.335492C.561893-3.335492 .573848-3.383313 .621669-3.550685C.908593-4.554919 1.362889-5.033126 1.829141-5.033126C1.936737-5.033126 2.139975-5.033126 2.139975-4.638605C2.139975-4.327771 2.008468-3.981071 1.829141-3.526775C1.243337-1.960648 1.243337-1.566127 1.243337-1.279203C1.243337-.143462 2.056289 .119552 2.654047 .119552C3.000747 .119552 3.431133 .011955 3.849564-.430386L3.861519-.418431C3.682192 .286924 3.56264 .753176 3.144209 1.338979Z'/>
<path id='g0-40' d='M5.391781 21.842092C5.391781 20.527024 4.483188 18.5066 2.402989 17.454545C3.694147 16.761146 5.236364 15.362391 5.379826 13.126775L5.391781 13.055044V4.770112C5.391781 3.789788 5.391781 3.574595 5.487422 3.120299C5.702615 2.163885 6.276463 .980324 7.79477 .083686C7.890411 .02391 7.902366 .011955 7.902366-.203238C7.902366-.466252 7.890411-.478207 7.627397-.478207C7.412204-.478207 7.388294-.478207 7.065504-.286924C4.387547 1.231382 4.23213 3.455044 4.23213 3.873474V12.373599C4.23213 13.234371 4.23213 14.20274 3.610461 15.302615C3.060523 16.282939 2.414944 16.773101 1.900872 17.119801C1.733499 17.227397 1.721544 17.239352 1.721544 17.44259C1.721544 17.657783 1.733499 17.669738 1.829141 17.729514C2.84533 18.399004 3.93325 19.463014 4.196264 21.411706C4.23213 21.67472 4.23213 21.69863 4.23213 21.842092V31.023661C4.23213 31.99203 4.829888 34.000498 7.137235 35.219925C7.412204 35.375342 7.436115 35.375342 7.627397 35.375342C7.890411 35.375342 7.902366 35.363387 7.902366 35.100374C7.902366 34.885181 7.890411 34.873225 7.84259 34.849315C7.328518 34.526526 5.762391 33.582067 5.439601 31.501868C5.391781 31.191034 5.391781 31.167123 5.391781 31.011706V21.842092Z'/>
<path id='g0-112' d='M5.068991 13.867995C5.439601 13.867995 5.451557 13.85604 5.571108 13.628892L12.110585-.02391C12.194271-.179328 12.194271-.203238 12.194271-.239103C12.194271-.37061 12.09863-.478207 11.955168-.478207C11.799751-.478207 11.75193-.37061 11.692154-.239103L5.523288 12.624658L2.976837 6.694894L1.315068 7.974097L1.494396 8.16538L2.343213 7.519801L5.068991 13.867995Z'/>
</defs>
<g id='page1' transform='matrix(1.13 0 0 1.13 -63.986043 -61.019978)'>
<use x='56.413267' y='54.276444' xlink:href='#g0-40'/>
<use x='77.74985' y='66.530661' xlink:href='#g4-120'/>
<use x='84.401938' y='62.192225' xlink:href='#g3-108'/>
<use x='87.024063' y='62.192225' xlink:href='#g3-111'/>
<use x='91.117112' y='62.192225' xlink:href='#g3-103'/>
<use x='95.432929' y='59.379439' xlink:href='#g2-121'/>
<use x='103.08473' y='66.530661' xlink:href='#g5-43'/>
<use x='114.846045' y='66.530661' xlink:href='#g4-121'/>
<use x='120.982697' y='62.192225' xlink:href='#g3-108'/>
<use x='123.604822' y='62.192225' xlink:href='#g3-111'/>
<use x='127.697872' y='62.192225' xlink:href='#g3-103'/>
<use x='132.013688' y='59.379439' xlink:href='#g2-120'/>
<use x='140.502622' y='66.530661' xlink:href='#g5-61'/>
<use x='152.928103' y='66.530661' xlink:href='#g5-50'/>
<use x='158.781093' y='66.530661' xlink:href='#g5-48'/>
<use x='164.634083' y='66.530661' xlink:href='#g5-48'/>
<use x='81.07068' y='79.346509' xlink:href='#g2-120'/>
<use x='78.600861' y='73.643834' xlink:href='#g0-112'/>
<rect x='90.55606' y='73.165647' height='.478187' width='79.374541'/>
<use x='90.55606' y='83.865573' xlink:href='#g5-91'/>
<use x='93.807721' y='83.865573' xlink:href='#g5-40'/>
<use x='98.360047' y='83.865573' xlink:href='#g4-108'/>
<use x='102.109855' y='83.865573' xlink:href='#g4-111'/>
<use x='107.737293' y='83.865573' xlink:href='#g4-103'/>
<use x='113.771549' y='80.411865' xlink:href='#g3-120'/>
<use x='119.03658' y='83.865573' xlink:href='#g5-41'/>
<use x='126.245569' y='83.865573' xlink:href='#g1-1'/>
<use x='132.223123' y='83.865573' xlink:href='#g5-40'/>
<use x='136.775449' y='83.865573' xlink:href='#g4-108'/>
<use x='140.525257' y='83.865573' xlink:href='#g4-111'/>
<use x='146.152695' y='83.865573' xlink:href='#g4-103'/>
<use x='152.186951' y='80.411865' xlink:href='#g3-121'/>
<use x='157.156794' y='83.865573' xlink:href='#g5-41'/>
<use x='161.70912' y='83.865573' xlink:href='#g5-93'/>
<use x='164.960781' y='80.411865' xlink:href='#g3-121'/>
<use x='173.25143' y='83.865573' xlink:href='#g5-61'/>
<use x='185.676911' y='83.865573' xlink:href='#g5-49'/>
<use x='191.529901' y='83.865573' xlink:href='#g5-48'/>
<use x='197.382892' y='83.865573' xlink:href='#g5-50'/>
<use x='203.235882' y='83.865573' xlink:href='#g5-52'/>
</g>
</svg>  

Resp.: Sem gabarito.

Bom dia amigos.
Alguma dica para essa? Tô sem ideias...

Obrigado! Very Happy


Última edição por Floral Fury em Sex 26 Nov 2021, 18:55, editado 2 vez(es) (Motivo da edição : Equação nova postada com sucesso, agr não tem erro!)
Floral Fury
Floral Fury
Recebeu o sabre de luz
Recebeu o sabre de luz

Mensagens : 153
Data de inscrição : 06/10/2021
Idade : 18
Localização : SP - Brazil

Ir para o topo Ir para baixo


Resolvido Re: Sistema de Equações exponenciais.

Mensagem por tales amaral Sex 26 Nov 2021, 10:15

Creio que seja isso:


[latex]\log x \cdot \log y = 2^{10\cdot\frac{x}{y}}[/latex]


Utilizando [latex]10^{\log a} =  a[/latex]:


[latex]x^{\log y}+y^{\log x} = 200[/latex]



[latex]10^{\log x \cdot \log y}+10^{\log x \cdot \log y} = 200[/latex]



[latex]10^{\log x \cdot \log y}= 10^2[/latex]


[latex]\log x \cdot \log y= 2 [/latex]




Substituindo na segunda equação:


[latex]\log x \cdot \log y = 2^{10\cdot\frac{x}{y}}[/latex]

[latex]2^{1} = 2^{10\cdot\frac{x}{y}}[/latex]

[latex]1 = 10\cdot\frac{x}{y}[/latex]

[latex]y = 10x[/latex]



Substituindo novamente:


[latex]\log x \cdot \log y= 2 [/latex]


[latex]\log x \cdot \log 10x= 2[/latex]


[latex]\log x \cdot \left(1+\log x \right ) = 2 [/latex]



[latex]\log^2 x+\log x-2=0 [/latex]



[latex]\log x = -2 \text{ ou } \log x = 1[/latex]



[latex]x = \dfrac{1}{100} \text{ ou } x = 10[/latex]



O conjunto solução é [latex]S = \left\{\left(\dfrac{1}{100}, \dfrac{1}{10} \right ), \left(10,100\right)\right\}[/latex].


Não sei se existem mais soluções.
tales amaral
tales amaral
Recebeu o sabre de luz
Recebeu o sabre de luz

Mensagens : 150
Data de inscrição : 02/05/2020
Idade : 18
Localização : ES

https://talesamaral.github.io/

Ir para o topo Ir para baixo

Resolvido Re: Sistema de Equações exponenciais.

Mensagem por Floral Fury Sex 26 Nov 2021, 18:55

Obrigado colega Tales pela persistência na questão!!
Logo logo posto mais questões malucas de mat. para as vésperas do Natal!

Obrigado! Very Happy
Floral Fury
Floral Fury
Recebeu o sabre de luz
Recebeu o sabre de luz

Mensagens : 153
Data de inscrição : 06/10/2021
Idade : 18
Localização : SP - Brazil

Ir para o topo Ir para baixo

Resolvido Re: Sistema de Equações exponenciais.

Mensagem por Conteúdo patrocinado


Conteúdo patrocinado


Ir para o topo Ir para baixo

Página 2 de 2 Anterior  1, 2

Ir para o topo


 
Permissões neste fórum
Você não pode responder aos tópicos