## Intermediate Algebra: Connecting Concepts through Application

$x=\frac{e^4+5}{2}$
$\ln(2x-5)=4$ $\implies 2x-5=e^4$ Add $5$ to both sides $2x=e^4+5$ Divide both sides by $2$ $x=\frac{e^4+5}{2}$ CHECK: $\ln(2\left(\frac{e^4+5}{2}\right)-5)=\ln(e^4+5-5)=\ln(e^4)=4$