Answer
$x=\frac{17}{3}$
Work Step by Step
If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$.
Therefore, $log_{2}(3x-1)=4$ means $2^{4}=16=3x-1$.
To solve for x, add 1 to both sides of the equation.
$3x=17$
Divide both sides by 3.
$x=\frac{17}{3}$
