Chapter 12 - Exponential Functions and Logarithmic Functions - Review Exercises: Chapter 12 - Page 843: 27

An equivalent exponential equation for the logarithmic equation ${{\log }_{8}}1=0$ is ${{8}^{0}}=1$.

${{\log }_{8}}1=0$ The logarithmic equation ${{\log }_{8}}1=0$ is in the form $m={{\log }_{a}}x$. Here, m = 0, a = 8 and x = 1. Thus, it can be written in the form ${{a}^{m}}=x$, that is ${{8}^{0}}=1$.