Question

O logaritmo de 144 na base 2 raiz de 3 é igual a: ?

Answer 1

$log_{2 \sqrt{3}} 144 =\\\\ log_{\sqrt{2^2*3}} 144 =\\\\ log_{\sqrt{12}} 144 =\\\\ 1/ \frac{1}{2}* log_{12}144 =\\\\ 2* log_{12}12^2 =\\\\ 2*2=\\\\ 4$