Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 468: 12

$1.594$

Apply logarithmic property : $\log_{n} m=\dfrac{\log m}{\log n}$ The given expression can be written as: $x=\log_{5} {13} =\dfrac{\log 5}{\log 13}$ Now, we will evaluate the result by using calculator. Therefore, our answer is: $\dfrac{\log 5}{\log 13}=1.594$