Question 108808
Knowns on one side. Unknowns on the other.
{{{5+ ln(x^2) = 4}}}
{{{5-5+ ln(x^2) = 4-5}}}Subtract 5 from both sides.
{{{ln(x^2) = -1}}}
{{{x^2 = e^(-1)}}}Exponentiate both side. 
{{{sqrt(x^2) = sqrt(e^(-1))}}}Take the square root of both sides. 
{{{x = sqrt(e^(-1))}}} and {{{x = -sqrt(e^(-1))}}} Find positive and negative root.
Two solution x=0.606 and x=-0.606.
Check your answers
{{{5+ ln(x^2) = 4}}}
{{{5+ ln(.606^2) = 4}}}
{{{5+ ln(.368) = 4}}}
{{{5+ (-1.0)= 4}}}
{{{4=4}}}
True statement.
Good answers.