Find All Complex Solutions log base 3 of x-2 log base x of 3=1

$\log_{3} (x) - 2 \log_{x} (3) = 1$

Move all the terms containing a logarithm to the left side of the equation.

$\log_{3} (x) - 2 \log_{x} (3) = 1$

Simplify the left side.

Simplify each term.

Simplify $- 2 \log_{x} (3)$ by moving $2$ inside the logarithm.

$\log_{3} (x) - \log_{x} (3^{2}) = 1$

Raise $3$ to the power of $2$ .

$\log_{3} (x) - \log_{x} (9) = 1$