Chapter 12 - Exponential Functions and Logarithmic Functions - Review Exercises: Chapter 12 - Page 843: 26

The equivalent exponential equation for the logarithmic equation ${{\log }_{4}}16=x$ is ${{4}^{x}}=16$.

${{\log }_{4}}16=x$ The function ${{\log }_{4}}16=x$ is in the form $m={{\log }_{a}}x$, Here, $m=x$, a = 4 and x = 16 Thus, it can be written in the form ${{a}^{m}}=x$, that is ${{4}^{x}}=16$.