Simplification · Question 23 · Medium

If 2^(x + 3) = 32^(x − 1), what is the value of x?

  1. 2
  2. 1
  3. 3
  4. 4
Answer and explanation

Answer: A. 2

Explanation: 32 = 2^5, so 2^(x + 3) = 2^(5x − 5). Equating powers: x + 3 = 5x − 5, so 4x = 8 and x = 2.

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