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Math Help - Converting logs formula

  1. #1
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    Converting logs formula

    Could someone please explain why we use a conversion formula for solving logs which are not of base 10 or e.

    I don't understand what the formula is or where it comes from.

    Formula: log b M = \frac{log a M}{log a b}

    How can I also use latex to make something "the base"

    Thanks!
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  2. #2
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    Quote Originally Posted by elieh View Post
    How can I also use latex to make something "the base"
    [tex] \log_B N[/tex] gives \log_B N .
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  3. #3
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    Quote Originally Posted by elieh View Post
    I don't understand what the formula is or where it comes from.

    Formula: \log_b M = \frac{\log_a M}{\log_a b}
    Let T=\log_b (M) then M=b^T.

    From which we get \log_a(M)=T\log_a(b)

    Solve for T.
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  4. #4
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    Calculation error
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  5. #5
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    \log_a b^x = \log_a M
    x\log_a b =\log_a M
     x= \frac{\log_a M}{\log_a b}

    used x instead of T
    Thank you!
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