Intermediate Algebra: Connecting Concepts through Application

$x = \frac{6}{5}$ (Correct answer) Marie subtracted $x$ from $5x^{2}$, which is wrong. She should have divided $5x^{2}$ by $x$ instead of subtracting.
Marie subtracted $x$ from $5x^{2}$, which is wrong. She should have divided $5x^{2}$ by $x$ instead of subtracting. $\log_6 (5x^{2}) - \log_6 x = 1$ $\log_6 \frac{5x^{2}}{x} = 1$ $\log_6 5x = 1$ $6 = 5x$ $x = \frac{6}{5}$