The equation that translates (y = ln(x)) five units down is (y = ln(x) - 5) and this can be determined by using the transformation.
Given :
Logarithmic equation -- (y = lnx)
The following steps can be used in order to identify the equation that translates (y = ln(x)) five units down:
Step 1 - The graph of the logarithmic function (y = ln(x)) intersect x-axis at (x = 1).
Step 2 - According to the given data, the graph of (y = ln(x)) is translated down by five units. So, to translate the given function five units down subtract the given function y by 5 unis.
Step 3 - So, the resulting logarithmic equation after transformation is given by:
y = ln(x) - 5
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/17267403
