Answer
$x=1$
or
$x=e^2=7.389$
Work Step by Step
Use the Power Property:
$\ln x^2=2\ln x$
$(\ln x)^2=2\ln x$
$(\ln x)^2-2\ln x=0$
$(\ln x)(\ln x-2)=0$
First Solution:
$\ln x=0$
$e^{\ln x}=e^0~~$ (Use the Inverse Property: $e^{\ln x}=x$):
$x=1$
Second Solution:
$\ln x-2=0$
$\ln x=2$
$e^{\ln x}=e^2~~$ (Use the Inverse Property: $e^{\ln x}=x$):
$x=e^2=7.389$
