Comparing $a$ and $2b$

★ 6/10functions Monotonicity Logarithms inequality

Problem

Positive real numbers $a, b$ satisfy

2^a + \log_2 a = 4^b + 2\log_4 b.

Compare $a$ and $2b$ , with proof.

Answer

Solution

Difficulty	6/10
Topics	functions, Monotonicity, Logarithms, inequality

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