## Intermediate Algebra: Connecting Concepts through Application

$x\approx2.656$
Take the log of both sides, and then use the power property to solve. $6^{3x-5}=204$ $(3x-5)\log6=\log204$ $3x-5=\frac{\log204}{\log6}$ $3x=5+\frac{\log204}{\log6}$ $x\approx2.656$