# How do you graph f(x)=-log_3x?

Mar 3, 2017

Standard graph of $\ln \left(\frac{1}{x}\right)$ scaled by $\frac{1}{\ln} 3$

#### Explanation:

$f \left(x\right) = - {\log}_{3} x$

$= - \ln \frac{x}{\ln} 3$

$= \frac{1}{\ln} 3 \cdot \ln \left({x}^{-} 1\right) = \frac{1}{\ln} 3 \cdot \ln \left(\frac{1}{x}\right)$

The graph of $f \left(x\right)$ can be seen below.

graph{ln(1/x)/ln3 [-1.345, 5.585, -1.275, 2.193]}