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If \( \Large log_{2} x + log_{2} y \ge 6 \), then the least value of \( \Large \left(x + y\right) \) is


A) 4

B) 9

C) 16

D) 32

Correct Answer:
C) 16

Description for Correct answer:

\( \Large log^{2}xy \ge 6 => xy \ge 2^{6} \)

Now \( \Large \frac{x + y}{2} \ge \sqrt{xy} \)

\( \Large Now \frac{x+y}{2} \ge 2^{3} => x+y \ge 2^{4} => x+y \ge 16 \)


Part of solved Logarithms questions and answers : >> Elementary Mathematics >> Logarithms




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