# How do you graph f(x)=log_3(1-x)?

Oct 21, 2017

See explanation

#### Explanation:

As a general case: ${\log}_{a} \left(x\right) = {\log}_{b} \frac{x}{{\log}_{b} \left(a\right)}$

So lets apply this approach

We can easily use ${\log}_{10}$ so this is the one I chose.

Set $\textcolor{w h i t e}{\text{d}} y = {\log}_{10} \frac{1 - x}{\log} _ 10 \left(3\right)$

Note that this becomes undefined at $x = 1$

${\log}_{10} \left(1\right) = 0 \textcolor{w h i t e}{\text{d") -> color(white)("d}} {10}^{0} = 1$