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Math Help - New to Logarithms

  1. #1
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    New to Logarithms

    Hey,

    I am pretty new to Logarithms and my class just got into the topic. I just converted y = log(base 4)X into "x = 4^y" to get the exponential equation.

    However when the problem starts to get more complicated I don't know how to convert.

    Right now I am trying to figure out how to convert "y = log(base 3)(x-2)"

    Any help would be appreciated! Thanks!
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  2. #2
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    Re: New to Logarithms

    Quote Originally Posted by JDRhoads View Post
    Hey,

    I am pretty new to Logarithms and my class just got into the topic. I just converted y = log(base 4)X into "x = 4^y" to get the exponential equation.

    However when the problem starts to get more complicated I don't know how to convert.

    Right now I am trying to figure out how to convert "y = log(base 3)(x-2)"

    Any help would be appreciated! Thanks!
    a = \log_b{c} \implies b^a = c

    so ...

    y = \log_3(x-2) \implies 3^y = x-2
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  3. #3
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    Re: New to Logarithms

    Thanks!! How would I then type that out with bases? I don't know how to do that. And I have been trying to plug it into a graphing calculator to check but have problems there as well. Thanks!
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  4. #4
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    Re: New to Logarithms

    You won't be able to input bases other than 10 or e into your graphics calculator. If you have any other base you will need to change the base to 10 or e.
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  5. #5
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    Re: New to Logarithms

    Quote Originally Posted by JDRhoads View Post
    Thanks!! How would I then type that out with bases? I don't know how to do that. And I have been trying to plug it into a graphing calculator to check but have problems there as well. Thanks!
    if you have a TI-84 with the latest operating system installed, then you can calculate logs of any base. In any case, here is a link to calculating logs ...

    Logarithms Using the Graphing Calculator
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