Chapter 11.4, Problem 9CFU

To determine

To write: The given equation in logarithmic form.

Answer to Problem 9CFU

The logarithmic form is ${\log }_8\frac{1}{4}=-\frac{2}{3}$ .

Explanation of Solution

Given:

The equation is $8^{-\frac{2}{3}}=\frac{1}{4}$ .

Calculation:

The exponential form $M=a^x$ has the logarithmic form ${\log }_{a}M=x$ .

So, the logarithmic form of the equation $8^{-\frac{2}{3}}=\frac{1}{4}$ is ${\log }_8\frac{1}{4}=-\frac{2}{3}$ .