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Math Help - logs

  1. #1
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    Question logs

    i got a question:

    E = log N^2 / t


    (thats log base 2)
    How would i make t the subject,

    what i did was:
    > E*t = log N^2
    > t = log N^2 / E

    But i dont think its right?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by taurus View Post
    i got a question:

    E = log N^2 / t


    (thats log base 2)
    How would i make t the subject,

    what i did was:
    > E*t = log N^2
    > t = log N^2 / E

    But i dont think its right?
    why do you have "^" indicating the base? "^" indicates a superscript you know.

    do you mean E = \frac {\log_2 N}{t} or E = \log_2 \left( \frac {N}{t} \right)?

    if you meant the first one, you are correct
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  3. #3
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    the second one but N squared
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  4. #4
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    E = \log_2 \left( \frac {N^2}{t} \right)?
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  5. #5
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    Hello, taurus!

    E \:= \;\log_2\left(\frac{N^2}{t}\right) . . Solve for t.
    You're expected to know this identity: . \log_b(Y) \,= \,x\quad\Rightarrow\quad b^x \,=\,Y


    So we have: . \log_2\left(\frac{N^2}{t}\right) \:=\:E\quad\Rightarrow\quad 2^E \:=\:\frac{N^2}{t}

    Now solve for t.

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