Answer
$x=\frac{10^{1.3}}{3}\approx6.6509$
Work Step by Step
We are given the equation $\log(3x)=1.3$. To solve for x, remember that the base of a common logarithm is understood to be 10.
Therefore, $log(3x)=log_{10}3x=1.3$.
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, $3x=10^{1.3}$.
Divide both sides by 3.
$x=\frac{10^{1.3}}{3}\approx6.6509$
