Question

In the following exercises, graph each logarithmic function.

$y={\log }_{2}x$

Short answer

The graph is

Step-by-step solution

Given information

Given the function$y={\log }_{2}x$

Rewrite in exponential form

Rewriting, we get

$$\begin{gathered} y={\log }_{2}x \\ {2}^y=x \end{gathered}$$

Using the point plotting method

Using point plotting, we get

$y$	$2^y=x$	$(x,y)$
$0$	$1$	$(1,0)$
$-1$	$\frac{1}{2}$	$(\frac{1}{2},-1)$
$1$	$2$	$(2,1)$

Sketch the graph by plotting the points

The graph is