Question

Solve the following equation:
${\log }^{2}x-3\log x=\log \left(x^2\right)-4$

Answer 1

${\log }^{2}x-3\log x=2\log x-4{\log }^{2}x-5\log x+4=0(\log x-4)(\log x-1)=0$

$x={10}^1,{10}^{4}x=10,10000$