Question

In the following exercises, graph each logarithmic function.

$y={\log }_6\left(x\right)$

Short answer

The graph is

Step-by-step solution

Given information

Given the function$y={\log }_6\left(x\right)$$y={\log }_6\left(x\right)$

Rewrite in exponential form

Rewriting, we get

$$\begin{gathered} y={\log }_6\left(x\right) \\ {6}^y=x \end{gathered}$$

Using the point plotting method

Using point plotting, we get

$y$	$6^y=x$	$(x,y)$
$0$	$1$	$(1,0)$
$-1$	$6$	role="math" localid="1644901386406" $(\frac{1}{6},-1)$
$1$	$6$	$(6,1)$

Sketch the graph by plotting the points

The graph is