Algebra Examples

${\log_{3}}^{2} (x) - 3 \log_{3} (x) = 10$

Step 1

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

${\log_{3}}^{2} (x) - \log_{3} (x^{3}) = 10$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{1}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{9}$

Decimal Form:

$x = 0.\overline{1}$

Step 4