### Home > PC > Chapter 3 > Lesson 3.2.3 > Problem3-90

3-90.

Graph $f(x)=\log_5(2+x)$ and determine the domain and range.

Rewrite the equation in exponential form.
$5^y=2+x$

Solve for $x$.
$5^y−2=x$

Make a table for the function. Choose values for $y$ and evaluate for $x$.

 $x$ $y$ $-3$ $-2$ $-1$ $-2$ $0$ $1$ $2$ $3$

Graph the function using the points in the table.

Use the eTool below to help you visualize this problem.
Click the link at right for the full version of the eTool: 3-90 HW eTool (Desmos)