Question

Express in exponential form.

log864 = 2

Answer 1

If that means log base 8 of 64 equals 2, then the answer is
8^2 = 64

Answer 2

Answer: The required exponential form of the given logarithmic equation is
`64=8^2.`

Step-by-step explanation: We are given to express the following logarithmic equation in exponential form :

`\log_864=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following logarithmic property in solving the given problem :

`\log_ab=c~~~~~~~~~~~\Rightarrow b=a^c.`

From equation (i), we get

`\log_864=2\\\\\Rightarrow 64=8^2.`

Thus, the required exponential form of the given logarithmic equation is
`64=8^2.`