how do I find the domain, x-intercept, and vertical asymptote of a log function?
example: f(x)= log x
7
I assume you mean,
$\displaystyle y=\log_7 x$
The domain are all positives.
Thus, $\displaystyle x>0$.
The vertical asymptote in a standard logarithm is the point where the domain breaks, i.e. $\displaystyle x=0$.
The x-intercept is to solve,
$\displaystyle \log_7 x=0$
Thus,
$\displaystyle 7^0=x=1$