Answer
Solution set = $\displaystyle \{\frac{\ln 659}{5}\}.$
$ x\approx 1.30$
Work Step by Step
$ 3e^{5x}=1977\qquad $... divide with 3
$ e^{5x}=659$
$\qquad $... apply ln( ) to both sides, (use: $\ln e^{M}=M $)
$\ln e^{5x}=\ln 659$
$ 5x=\ln 659\qquad $... divide with $5$
$ x=\displaystyle \frac{\ln 659}{5}\qquad $... round to 2 decimal places
$ x\approx 1.30$
