Final answer:
To create the expression for a transformed logarithmic function, properties of logarithms and exponentials are used, however, without additional details about the transformation, only a generic form A log(x + B) or A log(- (x + B)) can be provided.
Step-by-step explanation:
To write an expression for the transformed logarithmic function, we can use the properties of logarithms. In particular, we should note that the logarithm of a number resulting from the division of two numbers is the difference between the logarithms (log(a/b) = log(a) - log(b)), which also applies to exponential functions as they are the inverse of logarithms (eln(x) = x).
Given the lack of specific information about the transformation in the question, we cannot provide the exact expression. However, a general form for a transformed logarithmic function can be represented as A log(x + B) or A log(- (x + B)), where A is a vertical scaling factor and B is a horizontal translation.
If we had specifics such as the base of the logarithm (e.g., natural log, ln, or common log, log10), or details about the graph's transformation (e.g., reflection, translation, stretching, or compression), we could give a more precise expression.