Question

Qual o valor delog3 5 . log125 81

Answer 1

Oie, Td Bom?!

$= log_{3}(5) log_{125}(81)$

$= log_{3}(5) log_{5 {}^{3} }(3 {}^{4} )$

• Reescreva a expressão usando $log_{a {}^{y} }(b {}^{x} ) = \frac{x}{y} \: . \: log_{a}(b)$ .

$= log_{3}(5) \: . \: \frac{4}{3} \: . \: log_{5}(3)$

• Simplifique a expressão usando $log_{b}(a) \: . \: log_{a}(b) = 1$ .

$= 1 \: . \: \frac{4}{3}$

$= \frac{4}{3}$

Att. Makaveli1996