Question

Calcule o log de A(elevado a 6) na base A (elevado ao 2)

Answer 1

$log_{_{A^2}}A^6~=~x\\\\\\A^6~=~\left(A^2\right)^x\\\\\\A^6~=~A^{2x}\\\\\\A\!\!\!\backslash^6~=~A\!\!\!\backslash^{2x}\\\\\\6~=~2x\\\\\\x~=~\frac{6}{2}\\\\\\\boxed{x~=~3}$

$Resposta:~~log_{_{A^2}}A^6~=~3$