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UKMT Senior Mathematical Challenge, 2009

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

For what value of $x$ is $\sqrt{2} + \sqrt{2} + \sqrt{2} + \sqrt{2} = 2^x$ true?

(A) $\frac{1}{2}$ (B) $1\frac{1}{2}$ (C) $2\frac{1}{2}$ (D) $3\frac{1}{2}$ (E) $4\frac{1}{2}$

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