If 2^(x – 1) + 2^(x + 1) = 320, find x.
A5
B6
C7
D8
Explanation
Factor out 2^(x-1): 2^(x-1) [1 + 2^2] = 320 => 5 * 2^(x-1) = 320 => 2^(x-1) = 64 = 2^6 => x – 1 = 6 => x = 7.
Exam Relevance
- Topic: Algebra
- Subtopic: Exponents

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