Trigonometry Examples

$\log (5 x) - \log (x + 1) = \log (3)$

Step 1

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

$\log (\frac{5 x}{x + 1}) = \log (3)$

Step 2

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

$x = \frac{3}{2}$

Step 3