To analyze the effect on the graph of \( f(x) = \log x \) when it is transformed to \( f(x - 84) \), we need to understand how horizontal shifts work in graph transformations.
- The function \( f(x) \) represents the logarithmic function \(\log x\).
- When we replace \( f(x) \) with \( f(x - c) \), where \( c \) is a positive number, this indicates a horizontal shift of the graph to the right by \( c \) units.
In this case, since \( c = 84 \):
- The transformation \( f(x - 84) = \log(x - 84) \) means that the graph of \( \log x \) will shift 84 units to the right.
Therefore, the correct response is:
The graph shifts 84 units to the right.