Answer
$\frac{ln\frac{4}{3}}{ln5+ln\frac{4}{3}}\approx0.152$
Work Step by Step
Take logarithm on both sides to get $(1-x)ln\frac{4}{3}=(x)ln5 \longrightarrow (ln5+ln\frac{4}{3})x=ln\frac{4}{3} \longrightarrow x=\frac{ln\frac{4}{3}}{ln5+ln\frac{4}{3}}\approx0.152$
