Inequação Logaritmica.

por Floral Fury Qua 29 Dez 2021, 13:19

(Iezzi) Resolva a inequação:

Inequação Logaritmica. 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='138.335572pt' height='16.587926pt' viewBox='-.239051 -.228949 138.335572 16.587926'>
<defs>
<path id='g0-0' d='M5.571108-1.809215C5.69863-1.809215 5.873973-1.809215 5.873973-1.992528S5.69863-2.175841 5.571108-2.175841H1.004234C.876712-2.175841 .70137-2.175841 .70137-1.992528S.876712-1.809215 1.004234-1.809215H5.571108Z'/>
<path id='g1-0' d='M7.878456-2.749689C8.081694-2.749689 8.296887-2.749689 8.296887-2.988792S8.081694-3.227895 7.878456-3.227895H1.41071C1.207472-3.227895 .992279-3.227895 .992279-2.988792S1.207472-2.749689 1.41071-2.749689H7.878456Z'/>
<path id='g1-20' d='M8.069738-7.10137C8.201245-7.161146 8.296887-7.220922 8.296887-7.364384C8.296887-7.49589 8.201245-7.603487 8.057783-7.603487C7.998007-7.603487 7.890411-7.555666 7.84259-7.531756L1.231382-4.411457C1.028144-4.315816 .992279-4.23213 .992279-4.136488C.992279-4.028892 1.06401-3.945205 1.231382-3.873474L7.84259-.765131C7.998007-.681445 8.021918-.681445 8.057783-.681445C8.18929-.681445 8.296887-.789041 8.296887-.920548C8.296887-1.028144 8.249066-1.099875 8.045828-1.195517L1.793275-4.136488L8.069738-7.10137ZM7.878456 1.637858C8.081694 1.637858 8.296887 1.637858 8.296887 1.398755S8.045828 1.159651 7.866501 1.159651H1.422665C1.243337 1.159651 .992279 1.159651 .992279 1.398755S1.207472 1.637858 1.41071 1.637858H7.878456Z'/>
<path id='g6-49' 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='g4-50' d='M3.21594-1.117808H2.99477C2.982814-1.034122 2.923039-.639601 2.833375-.573848C2.791532-.537983 2.307347-.537983 2.223661-.537983H1.105853L1.870984-1.159651C2.074222-1.321046 2.606227-1.703611 2.791532-1.882939C2.970859-2.062267 3.21594-2.367123 3.21594-2.791532C3.21594-3.53873 2.540473-3.975093 1.739477-3.975093C.968369-3.975093 .430386-3.466999 .430386-2.905106C.430386-2.600249 .687422-2.564384 .753176-2.564384C.902615-2.564384 1.075965-2.67198 1.075965-2.887173C1.075965-3.01868 .998257-3.209963 .735243-3.209963C.872727-3.514819 1.23736-3.741968 1.649813-3.741968C2.27746-3.741968 2.612204-3.275716 2.612204-2.791532C2.612204-2.367123 2.331258-1.93076 1.912827-1.548194L.496139-.251059C.436364-.191283 .430386-.185305 .430386 0H3.030635L3.21594-1.117808Z'/>
<path id='g2-120' 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='g5-43' d='M3.474969-1.809215H5.818182C5.929763-1.809215 6.105106-1.809215 6.105106-1.992528S5.929763-2.175841 5.818182-2.175841H3.474969V-4.527024C3.474969-4.638605 3.474969-4.813948 3.291656-4.813948S3.108344-4.638605 3.108344-4.527024V-2.175841H.757161C.645579-2.175841 .470237-2.175841 .470237-1.992528S.645579-1.809215 .757161-1.809215H3.108344V.541968C3.108344 .653549 3.108344 .828892 3.291656 .828892S3.474969 .653549 3.474969 .541968V-1.809215Z'/>
<path id='g5-49' d='M2.502615-5.076961C2.502615-5.292154 2.486675-5.300125 2.271482-5.300125C1.944707-4.98132 1.522291-4.790037 .765131-4.790037V-4.527024C.980324-4.527024 1.41071-4.527024 1.872976-4.742217V-.653549C1.872976-.358655 1.849066-.263014 1.091905-.263014H.812951V0C1.139726-.02391 1.825156-.02391 2.183811-.02391S3.235866-.02391 3.56264 0V-.263014H3.283686C2.526526-.263014 2.502615-.358655 2.502615-.653549V-5.076961Z'/>
<path id='g5-50' d='M2.247572-1.625903C2.375093-1.745455 2.709838-2.008468 2.83736-2.12005C3.331507-2.574346 3.801743-3.012702 3.801743-3.737983C3.801743-4.686426 3.004732-5.300125 2.008468-5.300125C1.052055-5.300125 .422416-4.574844 .422416-3.865504C.422416-3.474969 .73325-3.419178 .844832-3.419178C1.012204-3.419178 1.259278-3.53873 1.259278-3.841594C1.259278-4.25604 .860772-4.25604 .765131-4.25604C.996264-4.837858 1.530262-5.037111 1.920797-5.037111C2.662017-5.037111 3.044583-4.407472 3.044583-3.737983C3.044583-2.909091 2.462765-2.303362 1.522291-1.338979L.518057-.302864C.422416-.215193 .422416-.199253 .422416 0H3.57061L3.801743-1.42665H3.55467C3.53076-1.267248 3.466999-.868742 3.371357-.71731C3.323537-.653549 2.717808-.653549 2.590286-.653549H1.171606L2.247572-1.625903Z'/>
<path id='g5-52' d='M3.140224-5.156663C3.140224-5.316065 3.140224-5.379826 2.972852-5.379826C2.86924-5.379826 2.86127-5.371856 2.781569-5.260274L.239103-1.570112V-1.307098H2.486675V-.645579C2.486675-.350685 2.462765-.263014 1.849066-.263014H1.665753V0C2.343213-.02391 2.359153-.02391 2.81345-.02391S3.283686-.02391 3.961146 0V-.263014H3.777833C3.164134-.263014 3.140224-.350685 3.140224-.645579V-1.307098H3.985056V-1.570112H3.140224V-5.156663ZM2.542466-4.511083V-1.570112H.518057L2.542466-4.511083Z'/>
<path id='g3-103' 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='g3-108' 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='g3-111' 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'/>
</defs>
<g id='page1' transform='matrix(1.13 0 0 1.13 -63.986043 -61.282126)'>
<use x='56.413267' y='65.753425' xlink:href='#g3-108'/>
<use x='60.163076' y='65.753425' xlink:href='#g3-111'/>
<use x='65.790513' y='65.753425' xlink:href='#g3-103'/>
<use x='71.82477' y='60.817239' xlink:href='#g5-50'/>
<use x='76.058952' y='60.817239' xlink:href='#g2-120'/>
<use x='80.825851' y='58.004453' xlink:href='#g4-50'/>
<use x='84.976896' y='60.817239' xlink:href='#g5-43'/>
<use x='91.563402' y='60.817239' xlink:href='#g2-120'/>
<use x='96.330301' y='60.817239' xlink:href='#g5-43'/>
<use x='102.916808' y='60.817239' xlink:href='#g5-49'/>
<use x='71.395821' y='68.70894' xlink:href='#g5-52'/>
<use x='110.305786' y='65.753425' xlink:href='#g1-0'/>
<use x='122.260947' y='65.753425' xlink:href='#g3-108'/>
<use x='126.010755' y='65.753425' xlink:href='#g3-111'/>
<use x='131.638193' y='65.753425' xlink:href='#g3-103'/>
<use x='137.672449' y='60.817239' xlink:href='#g5-50'/>
<use x='141.906632' y='60.817239' xlink:href='#g2-120'/>
<use x='146.673531' y='60.817239' xlink:href='#g0-0'/>
<use x='153.260037' y='60.817239' xlink:href='#g5-49'/>
<use x='137.2435' y='68.70894' xlink:href='#g5-50'/>
<use x='161.313182' y='65.753425' xlink:href='#g1-20'/>
<use x='173.932508' y='65.753425' xlink:href='#g6-49'/>
</g>
</svg>

Resp.: Sem gabarito.

Boa tarde, amigos!
Fiz da seguinte maneira:
------------------------------
(i) Resolvendo a subtração de log e chegando na inequação:

->

(ii) Desenvolvendo a raíz:

-> x(8x³ - 4x² + 3x - 3) ≤ 1

Pensei então que x = 0 logo de início! Mas não poderia ser x = 0
Mas, quando apliquei Briot - Ruffini nesse polinômio do parênteses, não consigo resolver...

Obrigado! Very Happy

por **qedpetrich** Qua 29 Dez 2021, 13:41

Olá;

Seu erro está na propriedade dos logaritmos:

$Inequação Logaritmica. Png$

Você acabou aplicando a propriedade da soma:

$Inequação Logaritmica. Png$

Além disso tome para 1:

$Inequação Logaritmica. Png$

Acho que agora você consegue prosseguir!

por Floral Fury Qua 29 Dez 2021, 13:50

Oxe kkkk.
Hj tá complicado!

Refazendo os cálculos:
--------------------
(i) Aplicando a teoria, de maneira correta dessa vez, dos logs.:
    √(2x² + x + 1) ≤ (2x - 1)
    [√(2x² + x + 1)]² ≤ (2x - 1)²
    2x² + x + 1 ≤ 4x² - 4x + 1
    2x² - 5x ≥ 0 ----> x(2x - 5) ≥ 0

(ii) Analisando as possibilidades das raízes:
    1. x = 0 ---> Não pode
    2. x < 0 ---> Pode
    3. x = 5/2 ----> Pode
    4. x ≥ 5/2 ----> Pode

(iii) Logo, portanto:
      R: x ∈ ℝ / x < 0 ou x ≥ 5/2

Acho que agr tá certo kkkkk.
Perdão pelo equívoco!

Abraços! Very Happy

por **qedpetrich** Qua 29 Dez 2021, 14:09

Ainda não está coerente, você não tomou a orientação para o valor de 1, veja:

$Inequação Logaritmica. Png$

$Inequação Logaritmica. Png$

Calculando as raízes:

$Inequação Logaritmica. Png.latex?%5Cdpi%7B100%7D%20%5C%5C%5Cmathrm%7Bx%3D%5Cfrac%7B17%5Cpm%5Csqrt%7B%28-17%29%5E2-4.14.3%7D%7D%7B2$

Pela condição de logaritmando x > 1/2, logo x'' é descartado, portanto:

$Inequação Logaritmica. Png$

por Floral Fury Qua 29 Dez 2021, 16:03

Ahh sim, entendi!

Mas pq temos que colocar 1 como log2 2?
Não podemos apenas usar o 1?

Apesar de termos uma inequação entre um log e um número, pelo menos nos exercícios do Iezzi, deu para fazer sem usar dessa transformação...

Mas entendi sua explicação!
Obrigado pela ajuda, e perdão pelos equívocos!
Very Happy

por **qedpetrich** Qua 29 Dez 2021, 16:17

Como você sai dessa inequação?

$Inequação Logaritmica. Png$

Ou você aplica a definição de logaritmo ou transforma 1 = log₂ (2), de qualquer maneira o resultado será o mesmo. Você estava eliminando o logaritmo sem nem ter aplicado sua definição:

$Inequação Logaritmica. Png$