Answer
$x\approx2.45$
Work Step by Step
Find the natural log of both sides and then pull out the exponent to the left side ($\ln$ and $e$ cancel each other out). Then solve for $x$.
$e^{5x-3}-2=10476$
$e^{5x-3}=10478$
$5x-3=\ln(10478)$
$5x=\ln(10478)+3$
$x=\frac{\ln(10478)+3}{5}$
$x\approx2.45$
