## College Algebra (10th Edition)

RECALL: The graph of the logarithmic function, $f(x) = \log_a{x}, a \gt 0, a\ne1$, is a curve that is asymptotic to (approaches but does not touch) the y-axis and has its x-intercept at $(1, 0)$. Thus, the graph of $f(x) = \log_a{x}$ has an x-intercept of $1$ but has no y-intercept since the graph does not touch the y-axis. Therefore, the given statement is true.