Answer
$log_{4}9\approx1.5850$
Work Step by Step
In order to evaluate the given logarithm, we can use the change of base formula.
$log_{b}a=\frac{log_{c}a}{log_{c}b}$ (where a, b, and c are positive real numbers and neither b nor c is 1)
For simplicity, we will use base 10, which is the base of the common logarithm.
Therefore, $log_{4}9=\frac{log_{10}9}{log_{10}4}=\frac{.9542}{.6021}\approx1.5850$.
