Precalculus Examples

$\frac{1}{3} \cdot \log_{2} (x + 6) = \log_{8} (3 x)$

Step 1

Subtract $\log_{8} (3 x)$ from both sides of the equation.

$\frac{1}{3} \cdot \log_{2} (x + 6) - \log_{8} (3 x) = 0$

Step 2

Simplify $\frac{1}{3} \log_{2} (x + 6)$ by moving $\frac{1}{3}$ inside the logarithm.

$\log_{2} ({(x + 6)}^{\frac{1}{3}}) - \log_{8} (3 x) = 0$

Step 3

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

$x = 3$

Step 4