Question 114264
Solve for x:
{{{e^(2x) = 20}}} Take the natural log of both sides.
{{{ln(e^(2x)) = ln(20)}}} Apply the power rule for logarithms to the left side ({{{ln(M^p) = p*ln(M)}}}.
{{{2x*ln(e) = ln(20)}}} Substitute: {{{ln(e) = 1}}}
{{{2x = ln(20)}}} Divide both sides by 2.
{{{x = (ln(20))/2}}} Evaluate with your calculator.
{{{x = 1.4979}}}