Answer:
To determine the transformation that maps the graph of f to the graph of g, let's analyze the given functions.
The function f(x) = log10x represents a logarithmic function with a base of 10. It takes the logarithm of x.
The function g(x) = log10(x^3) is also a logarithmic function with a base of 10. However, it takes the logarithm of x^3, which means it is equivalent to taking the logarithm of x and then multiplying the result by 3.
From this analysis, we can conclude that the graph of g is obtained by vertically dilating the graph of f by a factor of 3.
Therefore, the correct answer is A. Vertical dilation by a factor of 3.
