Question

sendo log 2 na base A=20, log 5 na base A=30. calcule log de 100 na base A.

Answer 1

$log_{a}2 = 20 \\ log_{a}5 = 30 \\ \\ log_{a}100= log_{a}10^{2}=2.log_{a}10 = 2.log_{a}5.2 = 2.(log_{a}5 + log_{a}2) \\ \\ 2.(30 + 20)= 2.(50) = 100$

Espero ter ajudado.