Practice mode Surds and Indices

If 4^(x + 1) = 8^(x − 1), what is the value of x?

Correct answer D. 5

Explanation

Write both sides as powers of 2: 2^(2x + 2) = 2^(3x − 3). So 2x + 2 = 3x − 3, giving x = 5.

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