Calculus Examples

$\log_{3} (3 x + 4) = 2 \cdot \log_{9} (1 - x) - 2$

Step 1

Simplify $2 \log_{9} (1 - x)$ by moving $2$ inside the logarithm.

$\log_{3} (3 x + 4) = \log_{9} ({(1 - x)}^{2}) - 2$

Step 2

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

$x = - \frac{5}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{4}$

Decimal Form:

$x = - 1.25$

Mixed Number Form:

$x = - 1 \frac{1}{4}$

Step 4