It is known that is a root of the equation _ (x^2+15a^2)- _ (a-2)= _ 8ax a-2

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

Problem

It is known that x=9x=9 is a root of the equation log⁡π(x2+15a2)−log⁡π(a−2)=log⁡π8axa−2.\log_\pi(x^2+15a^2)-\log_\pi(a-2)=\log_\pi\frac{8ax}{a-2}. Find the other root of this equation.

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