Answer
$x=\frac{10^{-0.8}+2}{3}\approx0.7195$
Work Step by Step
$\log (3x-2)=-0.8$
Rewriting in exponential form, $3x-2=10^{-0.8}$.
Now solving for x:
$3x-2=10^{-0.8}$
$3x=10^{-0.8}+2$
$x=\frac{10^{-0.8}+2}{3}\approx0.7195$.
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