College Math CLEP Prep Practice Exam

What is the solution of 4^2x + 12 = 32?

1. 1

2. 2

3. 3

4. 4

The correct answer is: 2

In this equation, 4^2x represents 4 raised to the power of 2x. To solve for x, we need to isolate the variable by performing inverse operations. First, we subtract 12 from both sides, resulting in 4^2x = 20. Then, we can take the logarithm of both sides with base 4 to cancel out the exponent. This gives us x = log4(20), which is approximately 2.32. A, C, and D are incorrect because they do not reflect the necessary steps to solving this equation. A common mistake may be to simply choose D because 4 is a factor of 32, but this does not take into account the 2x in the exponent. Choosing C may also seem like a logical choice, but it does not consider the other numbers involved and their properties. The correct solution for this