Question

Calcule o valor do logaritmo de 625 na base 5 radical 5 de índice 3 , urgente pf!!

Answer 1

$log_{5\sqrt[3]{5}}625=x -----> (5\sqrt[3]{5})^x=625\\ (625=5.5.5.5) (5\sqrt[3]{5})^x=5.5^3\\ (5\sqrt[3]{5})^3=5^3.\sqrt[3]{5}^3=125.5=625\\ Logo, x=3$

Pois $(\sqrt[3]{5})^x$ precisa ser elevado à 3 para ter o valor do logaritmando.

Boa Tarde!

Answer 2

LOG 625    = LOG625/LOG∛5=LOG5^4/LOG5^1/3=4LOG5/1/3LOG5=
       ∛5
4/1/3=4X3=12