Calculus Examples

$\frac{\ln (2) - \ln (x)}{x} = 5$

Step 1

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

$\frac{\ln (\frac{2}{x})}{x} = 5$

Step 2

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

$x \approx 0.3491056$

Step 3