Answer
.125
Work Step by Step
We are given that $log_{b}3=.5$ and that $ log_{b}5=.7$.
The power property of logarithms tells us that $log_{b}x^{r}=r log_{b}x$ (where x and b are positive real numbers, $b\ne1$, and r is a real number).
Therefore, $log_{b}\sqrt[4] 3= log_{b}3^{\frac{1}{4}}=\frac{1}{4}log_{b}3=\frac{1}{4}\times .5=.125$.
