Question

In the following exercises, graph each logarithmic function.

$y={\log }_7\left(x\right)$

Short answer

The graph is

Step-by-step solution

Given information

Given the function$y={\log }_7\left(x\right)$

Rewrite in exponential form 

Rewriting, we get

$$\begin{gathered} y={\log }_7\left(x\right) \\ {7}^y=x \end{gathered}$$

Using the point plotting method

Using point plotting, we get

$y$	$7^y=x$	$(x,y)$
$0$	$1$	$(1,0)$
$-1$	$\frac{1}{7}$	$(\frac{1}{7},-1)$
$1$	$7$	$(7,1)$

Sketching the graph by joining points

Sketching the graph, we get