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Thread: logarithms and graphs??

  1. #1
    jillybean
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    logarithms and graphs??

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

    example: f(x)= log x
    7
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  2. #2
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    Quote Originally Posted by jillybean View Post
    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,
    $\displaystyle 7^0=x=1$
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