Question

sa se calculeze:

$log_{3}(9 \sqrt[4]{27 \sqrt[5]{81} } )$

Answer 1

$log_3(9 \sqrt[4]{3^3 \sqrt[5]{3^4} })= log_3(3^2 \sqrt[4]{3^3} \sqrt[20]{3^4} })= log_3(3^2 3^{3/4} 3^{1/5} })=2+3/4+1/5$ = 39/20