Statement 1: The equation has two distinct real solutions

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Statement 1: The equation xlog⁡x(1−x)2=9x^{\log_x(1-x)^2}=9 has two distinct real solutions. Statement 2: alog⁡ab=ba^{\log_a b}=b, when a>0a>0, a≠1a\ne1, and b>0b>0.

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