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Problem 9 - Olympiad

Solve for x: 2^x + 2^(x+1) = 24

Correct: A

We can rewrite 2^(x+1) as 2^x * 2^1 = 2 * 2^x. So the equation becomes 2^x + 2 * 2^x = 24, which simplifies to 3 * 2^x = 24. Dividing both sides by 3 gives 2^x = 8. Since 2^3 = 8, x = 3.