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Math Help - Change of Base Formula Logarithms

  1. #1
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    Change of Base Formula Logarithms

    I know how to use the change of base for logarithm problems but how do you so it for natural logs? The question reads "Write the logarithm as a multiple of common logarithm". None of the examples are for natural logs. How would I solve. "ln 5" using this?
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  2. #2
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    Quote Originally Posted by whiteforlife View Post
    I know how to use the change of base for logarithm problems but how do you so it for natural logs? The question reads "Write the logarithm as a multiple of common logarithm". None of the examples are for natural logs. How would I solve. "ln 5" using this?
    I'm not exactly sure what you mean, but I think the question asks you to transform \ln 5 into a normal logarithm form.

    \ln x = \frac {\log_{10}x}{\log_{10}e}

    I really ain't sure, please be more specific.
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  3. #3
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    Quote Originally Posted by whiteforlife View Post
    I know how to use the change of base for logarithm problems but how do you so it for natural logs? The question reads "Write the logarithm as a multiple of common logarithm". None of the examples are for natural logs. How would I solve. "ln 5" using this?
    Natural logarithm is just a logarithm with a base e.

    \ln x = \log_e x

    so \ln 5 = \log_e 5

    Does this help?

    Edit: Ooh, Sodapop beat me to it.
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