The logarithmic function is
.
The function
is defined when x + 5 > 0.
Thus, the domain of
is
.
To find the x - intercept, equate
to zero.


Inverse property of natural logarithm:
.

.
The x-intercept is :
.
The vertical asymptote :
.
The logarithmic equation is
.
Make the table of values to find ordered pairs that satisfy the function.
\Choose random values for x and find the corresponding values for y.
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1. Draw a co-ordinate plane.
\2. Plot the points.
\3. Draw a smooth curve through this points.
\
Domain :
.
x - intercept :
.
Vertical asymptote :
.
The graph the logarithmic function
is :
