Question

Gente, o valor: (logx)^2?
Log x = a, x=10^a
Eu pensei em: logx.logx= 10^a.10^a = 10^2a, logo= (log x)^2 = log2x, isso ta certo?.-.

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:x = a \iff log_{10}\:x = a }$

$\mathsf{x = 10^a}$

$\mathsf{(log\:x)^2 = (log\:x).(log\:x)}$

$\mathsf{(log\:x)^2 = (10^a).(10^a)}$

$\mathsf{(log\:x)^2 = 10^{a + a}}$

$\boxed{\boxed{\mathsf{(log\:x)^2 = 10^{2a} = (10^a)^2}}}$