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Problem 3 - Entrance Test

Find the value of x if 2^x + 2^(x+1) = 24.

Correct: A

2^x + 2^(x+1) = 24, we can rewrite 2^(x+1) as 2^x * 2. Then 2^x + 2^x * 2 = 24, 2^x(1+2) = 24. 2^x * 3 = 24, 2^x = 24/3, 2^x = 8, 2^x = 2^3, so x = 3.