how do I find the domain, x-intercept, and vertical asymptote of a log function?

example: f(x)= log x

7

Printable View

- Dec 18th 2006, 12:41 PMjillybeanlogarithms and graphs??
how do I find the domain, x-intercept, and vertical asymptote of a log function?

example: f(x)= log x

7 - Dec 18th 2006, 01:40 PMThePerfectHacker
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,

$\displaystyle 7^0=x=1$