Finite Math Examples

$8 \log (x + 2) - 8 \log (x - 1) = \frac{2}{3}$

Step 1

Simplify $8 \log (x + 2) - 8 \log (x - 1)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Simplify $8 \log (x + 2)$ by moving $8$ inside the logarithm.

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

Step 1.1.2

Simplify $- 8 \log (x - 1)$ by moving $8$ inside the logarithm.

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

Step 1.2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

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

Step 2

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

$x \approx 15.18254246$

Step 3