Answer
$x=1.32$
Work Step by Step
Divide both sides by $4$. Then make each side a natural log, and pull down the exponent on the left side. Then divide to solve for $x$.
$4e^{7x}=10,273$
$e^{7x}=\frac{10,273}{4}$
$7x\ln(e)=\ln(\frac{10,273}{4})$
$x=\frac{\ln(\frac{10,273}{4})}{7\ln(e)}$
$x=1.32$
