Trigonometry Examples

$\log_{7} (x + 3) - \log_{7} (x - 2) = \log_{7} (2 x + 14)$

Step 1

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

$\log_{7} (\frac{x + 3}{x - 2}) = \log_{7} (2 x + 14)$

Step 2

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

$x \approx 2.28458928$

Step 3