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Math Help - Advance Functions. Must See!

  1. #1
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    Thumbs up Advance Functions. Must See!

    Explain what happens to the graph of the function f(x) = logbx when b is equal to 1.

    If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by desination02 View Post
    Explain what happens to the graph of the function f(x) = logbx when b is equal to 1.

    If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
    is "b" the base of the logarithm here?

    note two things: (1) \log_a b = c \implies a^c = b

    and

    (2) \log_a b = \frac {\log_c b}{\log_c a}
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  3. #3
    Senior Member Twig's Avatar
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    hi

    Do you mean  log(b\cdot x) ?
    If so, if b=1,  log(1 \cdot x) = log(x)

    If  g(x)=b\cdot x \, \mbox{ and } h(x)=log(b\cdot x)
    Now if b=1, then  g(x) = x \mbox{ and } h(x) = log(x)

    g(x) and h(x) does not intersect, look at graph.

    Really should try to be more clear in your question, now we don┤t know if you mean log_{1}(x) \mbox{ or } log(x)
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