Question

Calcule o valor desse logatimo
log Base√7 e logartimando ⁵√49=

Answer 1

$log_{\sqrt7}( \sqrt[5]{49} )=x \\ \\ ( \sqrt{7} )^x= \sqrt[5]{49} \\ \\ 7^{\frac{x}{2}}=7^{\frac{2}{5}}\\ \\ \frac{x}{2}=\frac{2}{5}\\ \\ x=\frac{4}{5}$

Answer 2

 x/2      2/5
7    = 7
x/2=2/5
5x=4
x=4/5 ou 0,8