Statement 1: The equation has two distinct real roots

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

Problem

Statement 1: The equation 7log⁡7(x3+1)−x2=17^{\log_7(x^3+1)}-x^2=1 has two distinct real roots. Statement 2: alog⁡an=na^{\log_a n}=n, where a>0a>0, a≠1a\ne1, and n>0n>0.

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