Question

sketch the graph of the following function, and state its domain and range.
$y = \log_{7}(x)$

list ordered pairs that satisfy the equation.

$x$	$\frac{1}{7}$	$1$	$7$

use the graphing tool to graph the function.

the domain of the function is \boxed{}.
(type your answer in interval notation.)

Explanation:

Step1: Recall domain of logarithmic function

For a logarithmic function \( y = \log_b(x) \), the argument \( x \) must be greater than 0. So for \( y=\log_7(x) \), \( x>0 \).

Step2: Write domain in interval notation

The set of all positive real numbers in interval notation is \( (0, \infty) \).

Answer:

\((0, \infty)\)