$\"\"$

The logarithm expression is $\"\"$ .

Find the graph of the function.

Change of base formula is $\"\"$ .

$\"\"$

Construct a table of values to find ordered pairs that satisfy the function.

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$

Graph :

(1) Draw the coordinate plane.

(2) Plot the points from the table of values.

(3) Connect the plotted points to a smooth curve.

$\"\"$

Observe the above graph :

Domain of the function is $\"\"$ .

Range of the function is $\"\"$ .

Find $\"x\"$ -intercept by substituting $\"\"$ in $\"\"$ .

$\"\"$

Apply definition of logarithm : $\"\"$ if and only if $\"\"$ .

$\"\"$

$\"\"$ intercept is $\"\"$ .

Find $\"\"$ -intercept by substituting $\"\"$ in $\"\"$ .

$\"\"$

Since $\"\"$ is not in the domain of logarithm $\"\"$ -intercept not exist.

Observe the above graph the function does not have horizontal asymptote.

The equation of vertical asymptote of graph of the function $\"\"$ is $\"\"$ .

Thus the vertical asymptote of graph function $\"\"$ is $\"\"$ .

End behavior : $\"\"$ and $\"\"$ .

Increasing over the interval : $\"\"$ .

$\"\"$

Observe the above graph :

Domain of the function is $\"\"$ .

Range of the function is $\"\"$ .

$\"\"$ intercept is $\"\"$ .

The vertical asymptote of graph function $\"\"$ is $\"\"$ .

End behavior : $\"\"$ and $\"\"$ .

Increasing over the interval : $\"\"$ .