Algebra Examples

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

Step 1

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

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

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

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

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

Step 2.1.2

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

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