College Algebra CLEP Prep Practice Exam

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Solve log base 4 of 1/8

-3
-2
-1
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