Question

log 8 com base raiz de 2 + log 81 com base 3 + log 125 com base raiz de 5​

Answer 1

Olá!

$log_{ \sqrt{2} }8 + log_{3}81 + log_{ \sqrt{5} }125 \\ \frac{ log8 }{ log \sqrt{2} } + \frac{ log81 }{ log3} + \frac{ log125 }{ log \sqrt{5} } \\ \frac{ log {2}^{3} }{ log {2}^{ \frac{1}{2} } } + \frac{ log {3}^{4} }{ log3} + \frac{ log {5}^{3} }{ log {5}^{ \frac{1}{2} } } \\ \frac{ 3.log2 }{ \frac{1}{2}.log2} + \frac{ 4.log3 }{ log3} + \frac{ 3.log5 }{ \frac{1}{2}.log5} \\ \frac{3}{ \frac{1}{2} } + 4 + \frac{3}{ \frac{1}{2} } \\ 6 + 4 + 6 \\ 16$

Espero ter ajudado!

Bons estudos!