Checkpoint: Evaluating Logarithmic Expressions Solution

Evaluate.

$\log_{8} \frac{1}{2}$

$\log_{8} \frac{1}{2} = x 8^{x} = \frac{1}{2} 2^{3 (x)} = 2^{- 1} 3 x = - 1 x = - \frac{1}{3}$

Note

Q: What is the common base needed? 

A: 2 

Remember to have your Formula Sheet available to review the exponent rules as needed.

The More to Explore for this lesson provides helpful tips and guidance in using technology for these types of problems.

You may benefit from completing the More to Explore before continuing.