College Math Placement Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What is the value of x if 4^x = 64?

x = 1

x = 2

x = 3

To find the value of $ x $ in the equation $ 4^x = 64 $, it can be helpful to express both sides of the equation as powers of the same base.

First, notice that $ 4 $ can be rewritten as $ 2^2 $. Therefore, we can express $ 4^x $ as:

(2^2)^x = 2^{2x}

Next, we need to rewrite $ 64 $ as a power of $ 2 $. We know that:

64 = 2^6

Now, the equation $ 4^x = 64 $ becomes:

2^{2x} = 2^6

Since the bases are the same, we can set the exponents equal to each other:

2x = 6

To solve for $ x $, divide both sides by $ 2 $:

x = \frac{6}{2} = 3

Thus, the solution is $ x = 3 $. This confirms the correct answer as $ C $.

x = 4

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