Identify the vertical asymptote of $g(x)={\log }_{10}(x-1)$ .

A) x=10
B) x=1
C) x=-1
D) y -axis
E) x=5

Vertical Asymptote

A line that a graph approaches but never touches or crosses, representing where the function moves towards infinity or negative infinity.

Logarithm

The power to which a base, such as 10 or e, must be raised to produce a given number; it's the inverse operation to exponentiation.