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