Answer
$x = \dfrac{\log{7}}{\log{4}} \approx 1.4037$
Work Step by Step
Take the common logarithm of both sides to have:
$\log{4x}=\log{7}$
Apply the power property of logarithms to have:
$x(\log{4}) = \log{7}$
Divide $\log{4}$ to both sides to have:
$\\x = \dfrac{\log{7}}{\log{4}}
\\x \approx 1.4037$
