Question 752558
Use natural logs to solve:
{{{2e^(6x+3) = 4}}} Divide both sides by 2.
{{{e^(6x+3) = 2}}} Take the natural log of both sides.
{{{ln(e^(6x+3)) = ln(2)}}} Apply the power rule for logarithms to the left side.
{{{(6x+3)ln(e) = ln(2)}}} Substitute {{{ln(e) = 1}}}
{{{6x+3 = ln(2)}}} Subtract 3 from both sides.
{{{6x = ln(2)-3}}} Divide both sides by 6.
{{{x = (ln(2)-3)/6)}}} Evaluate.
{{{x = -0.3844}}}