Answer
.2920
Work Step by Step
To approximate $log_{5}1.6$, we can use the change of base formula, which can be written as $log_{b}a=\frac{log_{c}a}{log_{c}b}$ (where a, b, and c are positive real numbers and neither b nor c is equal to 1).
In this case, we will write $log_{5}1.6$ in base 10, which is in the form of the common logarithm.
Therefore, $log_{5}1.6=\frac{log_{10}1.6}{log_{10}5}=\frac{.2041}{.6990}=.2920$
