Answer
$log_{6}8\approx1.1606$
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, $log_{6}8=\frac{log_{10}8}{log_{10}6}=\frac{.9031}{.7782}\approx1.1606$.
