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