a) Log'2 16b) Log'4 16 c) Log'3 81d) Log'5 125e) Log 100.000f) Log'8 64.... Pergunta de ideia deRaphaelSouza

March 2022 1 33 Report

a) Log'2 16

b) Log'4 16

c) Log'3 81

d) Log'5 125

e) Log 100.000

f) Log'8 64

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korvo E aí Raphael,

use a propriedade da potência e a decorrente da definição:

$logb^k~\to~k\cdot logb\\log_kk=1$

_____________

$log_416=log_44^2\\
log_416=2\cdot log_44\\
log_416=2\cdot1\\\\
\boxed{\boxed{log_416=2}}\\.$

________________

$log_381=log_33^4\\
log_381=4\cdot log_33\\
log_381=4\cdot1\\\\
\boxed{\boxed{log_381=4}}\\.$

________________

$log_5125=log_55^3\\
log_5125=3\cdot log_55\\
log_5125=3\cdot1\\\\
\boxed{\boxed{log_5125=3}}\\.$

________________

$log100.000=log_{10}10^5~~.\\
log100.000=5\cdot log_{10}10\\
log100.000=5\cdot1\\\\
\boxed{\boxed{log100.000=5}}\\.$

________________

$log_864=log_88^2\\
log_864=2\cdot log_88~~~~~~~.\\
log_864=2\cdot1\\\\
\boxed{\boxed{log_864=2}}\\.$

Ótimos estudos mano =))

3 votes Thanks 11

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