Answer
$x=\frac{10^{1.1}}{2}\approx6.2946$
Work Step by Step
We are given the equation $\log(2x)=1.1$. To solve for x, remember that the base of a common logarithm is understood to be 10.
Therefore, $log(2x)=log_{10}2x=1.1$.
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, $2x=10^{1.1}$.
Divide both sides by 2.
$x=\frac{10^{1.1}}{2}\approx6.2946$
