Question

Write each logarithmic equation as an exponential equation. See Example 1. Do not solve. $$ \log _{8} \sqrt[3]{8}=\frac{1}{3} $$

          Write each logarithmic equation as an exponential equation. See Example 1. Do not solve.
$$
\log _{8} \sqrt[3]{8}=\frac{1}{3}
$$

Added by Daniel P.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Daniel Carr

Step 1

In this case, we have: $$\log_{8} \sqrt[3]{8} = \frac{1}{3}$$ This means that 8 raised to the power of 1/3 gives us the value of the cube root of 8, which is: $$8^{1/3} = \sqrt[3]{8}$$ Now, we can rewrite the logarithmic equation as an exponential equation by Show more…

Show all steps