Question

4) Resolva a equação: (log x)2 - 3 log x = -2.

Answer 1

Resposta:

(log x) 2-3= (-2) × 2-3= -7

Answer 2

$\sf \displaystyle\left(log\:x\right)2\:-\:3\:log\:x\:=\:-2\\\\\\\sf \left(log _{10}\left(x\right)\right)\cdot \:2-3log _{10}\left(x\right)=-2\\\\\\\sf {Some\:elementos\:similares:}\:2log _{10}\left(x\right)-3log _{10}\left(x\right)=-log _{10}\left(x\right)\\\\\\\sf -log _{10}\left(x\right)=-2\\\\\\\sf \frac{-log _{10}\left(x\right)}{-1}=\frac{-2}{-1}\\\\\\\sf log _{10}\left(x\right)=2\\\\\\\to \boxed{\sf x=100}$