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Math Help - Sketching graphs of logarithmic functions?

  1. #1
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    Sketching graphs of logarithmic functions?

    The problem is as follows:

    Sketch a graph of each pair of function.

    f(x) = logb2(x) , g(x) = logb4(x)

    How would I even begin to solve this problem??

    For reference, logb2(x) = log base two (x).
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  2. #2
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    Re: Sketching graphs of logarithmic functions?

    Quote Originally Posted by Dima110 View Post
    How would I even begin to solve this problem??
    The same way you plot the graph of any other function f: choose several values x1, x2, ..., calculate y1 = f(x1), y2 = f(x2), ..., plot the points (x1, y1), (x2, y2), ... and connect them.
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  3. #3
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    Re: Sketching graphs of logarithmic functions?

    y = \log_2{x} is the inverse of the function y = 2^x

    note that a function and its inverse are symmetrical to the line y = x ... if you can graph the exponential function, you can graph the log function.
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