Precalculus Examples

$f^{- 1 x} = \frac{6 x}{x - 8}$

Step 1

Rewrite $- 1 x$ as $- x$ .

$f^{- x} = \frac{6 x}{x - 8}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(f)$ of the right side $(\frac{6 x}{x - 8})$ equals the exponent $(- x)$ .

$\log_{f} (\frac{6 x}{x - 8}) = - x$