# SAT Math Multiple Choice Question 665: Answer and Explanation

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**Question: 665**

**5.** If 2^{2n-2} = 32, what is the value of *n*?

- A. 2.0
- B. 2.5
- C. 3.0
- D. 3.5

**Correct Answer:** D

**Explanation:**

**D**

**Algebra (exponentials) EASY**

2^{2n - 2} = 32

When dealing with exponential equations, it helps to see if we can express the two sides of the equation in terms of the same base. Since 32 = 2^{5}, we can express both sides in base 2:

2^{2n - 2} = 2^{5}

If *x*^{a} = *x*^{b} and *x* > 1, then *a* = *b* (if the bases are equal, the exponents are equal):

2*n* - 2 = 5

Add 2:

2*n* = 7

Divide by 2: