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Math Help - I get two answers for this logarithm, but there is only one.

  1. #1
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    I get two answers for this logarithm, but there is only one.

    I know there is only one answer to this logarithm, but I am getting two answers because I am not sure which step to do first. I will find out what mistake I am making once I which answer is correct. So, here are my two answers for the following logarithm.


    Simplify.



    Either 1.82 or 3.29

    Thanks!
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  2. #2
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    Quote Originally Posted by bobbyboy1111 View Post
    I know there is only one answer to this logarithm, but I am getting two answers because I am not sure which step to do first. I will find out what mistake I am making once I which answer is correct. So, here are my two answers for the following logarithm.


    Simplify.



    Either 1.82 or 3.29

    Thanks!
    I don't know which calculator you use, but to get the value of this quotient you must put the numerator into brackets:

    x = (ln(200) - 2*ln(4))/(ln(4)) = (ln(200) - ln(16))/(ln(4)) = ln(200)/ln(4) - 2

    It doesn't matter which term you use to calculate the value of x. In all three cases you'll get the same value.
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    Quote Originally Posted by earboth View Post
    I don't know which calculator you use, but to get the value of this quotient you must put the numerator into brackets:

    x = (ln(200) - 2*ln(4))/(ln(4)) = (ln(200) - ln(16))/(ln(4)) = ln(200)/ln(4) - 2

    It doesn't matter which term you use to calculate the value of x. In all three cases you'll get the same value.
    Which answer did you calculate?
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  4. #4
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    Quote Originally Posted by bobbyboy1111 View Post
    Which answer did you calculate?
    All three and I always get x = 1.821928095...
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