Trigonometry Examples

$\log_{6} (x + 31) - \log_{6} (x - 4) = 2$

Step 1

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

$\log_{6} (\frac{x + 31}{x - 4}) = 2$

Step 2

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

$x = 5$

Step 3