Answer: The required exponential form of the given logarithmic equation is [tex]64=8^2.[/tex]
Step-by-step explanation: We are given to express the following logarithmic equation in exponential form :
[tex]\log_864=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following logarithmic property in solving the given problem :
[tex]\log_ab=c~~~~~~~~~~~\Rightarrow b=a^c.[/tex]
From equation (i), we get
[tex]\log_864=2\\\\\Rightarrow 64=8^2.[/tex]
Thus, the required exponential form of the given logarithmic equation is [tex]64=8^2.[/tex]
