Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.


Solve log base 4 of 1/8

  1. -3

  2. -2

  3. -1

  4. 0

The correct answer is: -3

To solve this equation, we need to rewrite the given expression as an exponential form. Log base 4 of 1/8 is equivalent to saying "What power do we need to raise 4 to, in order to get 1/8?". This can be written as 4^x = 1/8. The answer can then be found by setting 4^x equal to 1/8 and solving for x. If we follow this process, we can see that x must equal -3, making option A the correct answer. The other options are incorrect because they do not represent the correct solution to the equation. Option B is incorrect because -2 is not a valid answer when solving 4^x = 1/8. Option C is incorrect because -1 is not a valid answer when solving 4^x = 1/8. And