Precalculus Examples

$4^{\frac{2}{\log_{3} (x)}} = \frac{1}{256}$

Step 1

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

$x = \frac{\sqrt{3}}{3}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$x = \frac{\sqrt{3}}{3}$

Decimal Form:

$x = 0.57735026 \dots$

Step 3