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Math Help - Laws of Logarithms HELP!

  1. #1
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    Laws of Logarithms HELP!

    I need to use laws of logarithms methods to simplify and evaluate these equation

    5n = 7 x 2n, rearrange and make n the subject


    θ = 250 x e-0.05 x t and make t the subject


    and continuing from that

    what is the value of t when θ = 195C


    I need log to the base 10 to be used preferably
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  2. #2
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    Re: Laws of Logarithms HELP!

    Quote Originally Posted by Scottrich12 View Post
    I need to use laws of logarithms methods to simplify and evaluate these equation

    5n = 7 x 2n, rearrange and make n the subject
    n=\frac{\log_{10}(7)}{\log_{10}(5)-\log_{10}(2)}
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  3. #3
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    Re: Laws of Logarithms HELP!

    That's the answer but how did you get it?
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    Re: Laws of Logarithms HELP!

    Quote Originally Posted by Scottrich12 View Post
    That's the answer but how did you get it?
    \left( {\frac{5}{2}} \right)^n  = 7
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  5. #5
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    Re: Laws of Logarithms HELP!

    How about
    θ = 250 x e-0.05 x t and make t the subject


    and continuing from that

    what is the value of t when θ = 195◦C
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