If , then…

MATHEMATICS · Multi correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

If 3x=4x−13^x=4^{x-1}, then xx equals (1) 2log⁡322log⁡32−1\frac{2\log_3 2}{2\log_3 2-1} (2) 22−log⁡23\frac{2}{2-\log_2 3} (3) 11−log⁡43\frac{1}{1-\log_4 3} (4) 2log⁡232log⁡23−1\frac{2\log_2 3}{2\log_2 3-1}

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