Question

Encontre o valor de x nas situações
abaixo
log9 27
log5 625
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Answer 1

$log_{_9}27~=~x\\\\\\27~=~9^x\\\\\\3^3~=~\left(3^2\right)^x\\\\\\3^3~=~3^{2x}\\\\\\2x~=~3\\\\\\\boxed{x~=~\frac{3}{2}~~ou~~1,5}$

$log_{_5}625~=~x\\\\\\625~=~5^x\\\\\\5^4~=~5^x\\\\\\\boxed{x~=~4}$