Answer
$x=1.30$
Work Step by Step
Divide both sides by $3$. Then make each side a natural log, and pull down the exponent on the left side. Then divide to solve for $x$.
$3e^{5x}=1977$
$e^{5x}=659$
$5x\ln(e)=\ln(659)$
$x=\frac{\ln(659)}{5\ln(e)}$
$x=1.30$
