#### Answer

$\frac{10^{1.1}}{2}$, $6.2946$

#### Work Step by Step

Based on the definition of the common logarithm, we know that $log(x)=log_{10}x$.
Furthermore, recall that $log_{b}x=y$ is equivalent to the statement $b^{y}=x$ (where $x\gt0$, $y$ is a real number, and $b\gt0$ and $b\ne1$).
Therefore, $log(2x)=log_{10}2x=1.1$ is equivalent to $10^{1.1}=2x$.
Divide both sides by 2.
$x=\frac{10^{1.1}}{2}\approx6.2946$