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Math Help - Logarithmic Help please

  1. #1
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    Logarithmic Help please

    Hey, im doing work on logarithms but these two kinds of q's have puzzled me could you plase tell me what the process to solving these type f q's is.
    how do i work out how to express these type of terms in log x ,logx^5-2logx.
    also for these type of logarithms to the base of 10 to solve these equations, 0.99^x=0.000001
    Thank you
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Chez_ View Post
    Hey, im doing work on logarithms but these two kinds of q's have puzzled me could you plase tell me what the process to solving these type f q's is.
    how do i work out how to express these type of terms in log x ,logx^5-2logx.]
    \log(x^5)-2\log(x)=5\log(x) -2\log(x)=3\log(x)

    RonL
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Chez_ View Post
    also for these type of logarithms to the base of 10 to solve these equations, 0.99^x=0.000001
    Thank you
    Take logs:

    \log_{10}(0.99^x)=\log_{10}(0.000001)=-6

    so:

    x \log_{10}(0.99)=-6

    x=\frac{-6}{\log_{10}(0.99)}

    RonL
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