Question

O log2 (log3 81) é igual a

Answer 1

$log_{_2}\left(log_{_3}81\right)=x\\\\\left(log_{_3}81\right)=2^x\\\\81=3^{2^x}\\\\Utilizando\;propriedade\;de\;exponenciacao\;a^{b^c}=a^{bc}:\\\\81=3^{2x}\\\\3^4=3^{2x}\\\\2x = 4\\\\x=\frac{4}{2}\\\\x=2$