Cultura de bactérias - Relação logarítmica.

por Bergamotinha OwO Seg 22 Nov 2021, 13:27

Boaa tarde, colegas!!
Gostaria de saber como que eu posso trabalhar com o logaritmo neperiano... principalmente nesse caso, em que temos uma constante no expoente do "e".
Obrigadoo!! cheers

226. (FME) O crescimento de uma certa cultura de bactérias obedece à função

Cultura de bactérias - Relação logarítmica. 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='79.594548pt' height='15.219056pt' viewBox='-.239051 -.234274 79.594548 15.219056'>
<defs>
<path id='g1-107' d='M2.327273-5.292154C2.335243-5.308095 2.359153-5.411706 2.359153-5.419676C2.359153-5.459527 2.327273-5.531258 2.231631-5.531258C2.199751-5.531258 1.952677-5.507347 1.769365-5.491407L1.323039-5.459527C1.147696-5.443587 1.067995-5.435616 1.067995-5.292154C1.067995-5.180573 1.179577-5.180573 1.275218-5.180573C1.657783-5.180573 1.657783-5.132752 1.657783-5.061021C1.657783-5.037111 1.657783-5.021171 1.617933-4.877709L.486177-.342715C.454296-.223163 .454296-.175342 .454296-.167372C.454296-.03188 .565878 .079701 .71731 .079701C.988294 .079701 1.052055-.175342 1.083935-.286924C1.163636-.621669 1.370859-1.466501 1.458531-1.801245C1.896887-1.753425 2.430884-1.601993 2.430884-1.147696C2.430884-1.107846 2.430884-1.067995 2.414944-.988294C2.391034-.884682 2.375093-.773101 2.375093-.73325C2.375093-.263014 2.725778 .079701 3.188045 .079701C3.52279 .079701 3.730012-.167372 3.833624-.318804C4.024907-.613699 4.152428-1.091905 4.152428-1.139726C4.152428-1.219427 4.088667-1.243337 4.032877-1.243337C3.937235-1.243337 3.921295-1.195517 3.889415-1.052055C3.785803-.67746 3.57858-.143462 3.203985-.143462C2.996762-.143462 2.948941-.318804 2.948941-.533998C2.948941-.637609 2.956912-.73325 2.996762-.916563C3.004732-.948443 3.036613-1.075965 3.036613-1.163636C3.036613-1.817186 2.215691-1.960648 1.809215-2.016438C2.10411-2.191781 2.375093-2.462765 2.470735-2.566376C2.909091-2.996762 3.267746-3.291656 3.650311-3.291656C3.753923-3.291656 3.849564-3.267746 3.913325-3.188045C3.482939-3.132254 3.482939-2.757659 3.482939-2.749689C3.482939-2.574346 3.618431-2.454795 3.793773-2.454795C4.008966-2.454795 4.24807-2.630137 4.24807-2.956912C4.24807-3.227895 4.056787-3.514819 3.658281-3.514819C3.196015-3.514819 2.781569-3.164134 2.327273-2.709838C1.865006-2.255542 1.665753-2.16787 1.538232-2.11208L2.327273-5.292154Z'/>
<path id='g1-116' d='M1.761395-3.172105H2.542466C2.693898-3.172105 2.789539-3.172105 2.789539-3.323537C2.789539-3.435118 2.685928-3.435118 2.550436-3.435118H1.825156L2.11208-4.566874C2.14396-4.686426 2.14396-4.726276 2.14396-4.734247C2.14396-4.901619 2.016438-4.98132 1.880946-4.98132C1.609963-4.98132 1.554172-4.766127 1.466501-4.407472L1.219427-3.435118H.454296C.302864-3.435118 .199253-3.435118 .199253-3.283686C.199253-3.172105 .302864-3.172105 .438356-3.172105H1.155666L.67746-1.259278C.629639-1.060025 .557908-.781071 .557908-.669489C.557908-.191283 .948443 .079701 1.370859 .079701C2.223661 .079701 2.709838-1.044085 2.709838-1.139726C2.709838-1.227397 2.638107-1.243337 2.590286-1.243337C2.502615-1.243337 2.494645-1.211457 2.438854-1.091905C2.279452-.70934 1.880946-.143462 1.39477-.143462C1.227397-.143462 1.131756-.255044 1.131756-.518057C1.131756-.669489 1.155666-.757161 1.179577-.860772L1.761395-3.172105Z'/>
<path id='g0-1' 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='g3-40' 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='g3-41' 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='g3-61' 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='g2-67' d='M8.930511-8.308842C8.930511-8.416438 8.846824-8.416438 8.822914-8.416438S8.751183-8.416438 8.655542-8.296887L7.830635-7.292653C7.412204-8.009963 6.75467-8.416438 5.858032-8.416438C3.275716-8.416438 .597758-5.798257 .597758-2.988792C.597758-.992279 1.996513 .251059 3.741968 .251059C4.698381 .251059 5.535243-.155417 6.228643-.74122C7.268742-1.613948 7.579577-2.773599 7.579577-2.86924C7.579577-2.976837 7.483935-2.976837 7.44807-2.976837C7.340473-2.976837 7.328518-2.905106 7.304608-2.857285C6.75467-.992279 5.140722-.095641 3.945205-.095641C2.677958-.095641 1.578082-.908593 1.578082-2.606227C1.578082-2.988792 1.697634-5.068991 3.048568-6.635118C3.706102-7.400249 4.829888-8.069738 5.965629-8.069738C7.280697-8.069738 7.866501-6.981818 7.866501-5.762391C7.866501-5.451557 7.830635-5.188543 7.830635-5.140722C7.830635-5.033126 7.950187-5.033126 7.986052-5.033126C8.117559-5.033126 8.129514-5.045081 8.177335-5.260274L8.930511-8.308842Z'/>
<path id='g2-88' d='M5.678705-4.853798L4.554919-7.47198C4.710336-7.758904 5.068991-7.806725 5.212453-7.81868C5.284184-7.81868 5.415691-7.830635 5.415691-8.033873C5.415691-8.16538 5.308095-8.16538 5.236364-8.16538C5.033126-8.16538 4.794022-8.141469 4.590785-8.141469H3.897385C3.16812-8.141469 2.642092-8.16538 2.630137-8.16538C2.534496-8.16538 2.414944-8.16538 2.414944-7.938232C2.414944-7.81868 2.52254-7.81868 2.677958-7.81868C3.371357-7.81868 3.419178-7.699128 3.53873-7.412204L4.961395-4.088667L2.367123-1.315068C1.936737-.848817 1.422665-.394521 .537983-.3467C.394521-.334745 .298879-.334745 .298879-.119552C.298879-.083686 .310834 0 .442341 0C.609714 0 .789041-.02391 .956413-.02391H1.518306C1.900872-.02391 2.319303 0 2.689913 0C2.773599 0 2.917061 0 2.917061-.215193C2.917061-.334745 2.833375-.3467 2.761644-.3467C2.52254-.37061 2.367123-.502117 2.367123-.6934C2.367123-.896638 2.510585-1.0401 2.857285-1.398755L3.921295-2.558406C4.184309-2.833375 4.817933-3.526775 5.080946-3.789788L6.336239-.848817C6.348194-.824907 6.396015-.705355 6.396015-.6934C6.396015-.585803 6.133001-.37061 5.750436-.3467C5.678705-.3467 5.547198-.334745 5.547198-.119552C5.547198 0 5.66675 0 5.726526 0C5.929763 0 6.168867-.02391 6.372105-.02391H7.687173C7.902366-.02391 8.129514 0 8.332752 0C8.416438 0 8.547945 0 8.547945-.227148C8.547945-.3467 8.428394-.3467 8.320797-.3467C7.603487-.358655 7.579577-.418431 7.376339-.860772L5.798257-4.566874L7.316563-6.192777C7.436115-6.312329 7.711083-6.611208 7.81868-6.73076C8.332752-7.268742 8.810959-7.758904 9.779328-7.81868C9.898879-7.830635 10.018431-7.830635 10.018431-8.033873C10.018431-8.16538 9.910834-8.16538 9.863014-8.16538C9.695641-8.16538 9.516314-8.141469 9.348941-8.141469H8.799004C8.416438-8.141469 7.998007-8.16538 7.627397-8.16538C7.543711-8.16538 7.400249-8.16538 7.400249-7.950187C7.400249-7.830635 7.483935-7.81868 7.555666-7.81868C7.746949-7.79477 7.950187-7.699128 7.950187-7.47198L7.938232-7.44807C7.926276-7.364384 7.902366-7.244832 7.770859-7.10137L5.678705-4.853798Z'/>
<path id='g2-101' d='M2.139975-2.773599C2.462765-2.773599 3.275716-2.797509 3.849564-3.012702C4.758157-3.359402 4.841843-4.052802 4.841843-4.267995C4.841843-4.794022 4.387547-5.272229 3.598506-5.272229C2.343213-5.272229 .537983-4.136488 .537983-2.008468C.537983-.753176 1.255293 .119552 2.343213 .119552C3.969116 .119552 4.99726-1.147696 4.99726-1.303113C4.99726-1.374844 4.925529-1.43462 4.877709-1.43462C4.841843-1.43462 4.829888-1.422665 4.722291-1.315068C3.957161-.298879 2.82142-.119552 2.367123-.119552C1.685679-.119552 1.327024-.657534 1.327024-1.542217C1.327024-1.709589 1.327024-2.008468 1.506351-2.773599H2.139975ZM1.566127-3.012702C2.080199-4.853798 3.21594-5.033126 3.598506-5.033126C4.124533-5.033126 4.483188-4.722291 4.483188-4.267995C4.483188-3.012702 2.570361-3.012702 2.068244-3.012702H1.566127Z'/>
<path id='g2-116' d='M2.402989-4.805978H3.502864C3.730012-4.805978 3.849564-4.805978 3.849564-5.021171C3.849564-5.152677 3.777833-5.152677 3.53873-5.152677H2.486675L2.929016-6.898132C2.976837-7.065504 2.976837-7.089415 2.976837-7.173101C2.976837-7.364384 2.82142-7.47198 2.666002-7.47198C2.570361-7.47198 2.295392-7.436115 2.199751-7.053549L1.733499-5.152677H.609714C.37061-5.152677 .263014-5.152677 .263014-4.925529C.263014-4.805978 .3467-4.805978 .573848-4.805978H1.637858L.848817-1.649813C.753176-1.231382 .71731-1.111831 .71731-.956413C.71731-.394521 1.111831 .119552 1.78132 .119552C2.988792 .119552 3.634371-1.625903 3.634371-1.709589C3.634371-1.78132 3.58655-1.817186 3.514819-1.817186C3.490909-1.817186 3.443088-1.817186 3.419178-1.769365C3.407223-1.75741 3.395268-1.745455 3.311582-1.554172C3.060523-.956413 2.510585-.119552 1.817186-.119552C1.458531-.119552 1.43462-.418431 1.43462-.681445C1.43462-.6934 1.43462-.920548 1.470486-1.06401L2.402989-4.805978Z'/>
</defs>
<g id='page1' transform='matrix(1.13 0 0 1.13 -63.986043 -62.707433)'>
<use x='56.413267' y='65.753425' xlink:href='#g2-88'/>
<use x='67.068375' y='65.753425' xlink:href='#g3-40'/>
<use x='71.620701' y='65.753425' xlink:href='#g2-116'/>
<use x='75.84786' y='65.753425' xlink:href='#g3-41'/>
<use x='83.721016' y='65.753425' xlink:href='#g3-61'/>
<use x='96.146496' y='65.753425' xlink:href='#g2-67'/>
<use x='108.036772' y='65.753425' xlink:href='#g0-1'/>
<use x='114.014326' y='65.753425' xlink:href='#g2-101'/>
<use x='119.439766' y='60.817239' xlink:href='#g1-107'/>
<use x='124.061381' y='60.817239' xlink:href='#g1-116'/>
</g>
</svg>

, em que X(t) é o número de bactérias no tempo

; C e k são constantes positivas( "e" é a base do logaritmo neperiano). Verificando que o número inicial de bactérias X(0) duplica em 4 horas, quantas se pode esperar no fim de 6 horas?

Resp.: Sem gabarito.

por **Elcioschin** Seg 22 Nov 2021, 22:46

t = 0 ---> C(0) = C.e^k.0 ---> C(0) = C

t = 4 ---> C(4) = C.e^k.4 ---> 2.C = C.e^k.4 --> 2 = (e^k)⁴ --> e^k = 2^1/4 --> I

t = 6 ---> C(6) = C.e^k.6 ---> C(6) = C.(e^k)⁶ --->

C(6) = C.(2^1/4)⁶ ---> C(6) = C.2^3/2 ---> C(6) = 2.√2.C

por Bergamotinha OwO Qua 24 Nov 2021, 09:42

Olá professor Elcio!!
Obrigado pela ajuda!

Apenas gostaria de perguntar: sempre que formos lidar com logaritmos neperianos... nós não resolvemos eles, propriamente dito? Pq, nessa questão, apenas manipulamos os expoentes, certo?

Obrigado!

por **Elcioschin** Qua 24 Nov 2021, 09:52

Nesta questão não foi preciso trabalhar com logaritmos neperianos, mesmo porque não foi informado valor do logaritmo de nenhum número.

Na realidade, na solução usei apenas equações exponenciais: bastou calcular o valor de e^k para resolver a questão.

por Conteúdo patrocinado

Cultura de bactérias - Relação logarítmica.

Cultura de bactérias - Relação logarítmica.

Re: Cultura de bactérias - Relação logarítmica.

Re: Cultura de bactérias - Relação logarítmica.

Re: Cultura de bactérias - Relação logarítmica.

Re: Cultura de bactérias - Relação logarítmica.

Um fórum livre e democrático.