The logarithmic function is
.
Compare the logarithmic equation
.
Here,
.
Thus, the domain is
.
To find the x - intercept, equate
to zero.
Property of logarithm
.

The x - intercept of the function is (1, 0).
The vertical asymptote of
is y - axis. (Since
)
So, the vertical asymptote of
is y - axis(x = 0).
The logarithmic function 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 : (1, 0).
\vertical asymptote : y - axis(x = 0).
\The graph the logarithmic function
is :
