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Math Help - checking answer for a Logarithm question

  1. #1
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    Question checking answer for a Logarithm question

    im a little unsure if i have done this right , any chance that someone could look over what i have done.
    if F= 50 x 2^3t
    find the value of t to 3.s.f.
    when F=300

    Workings.
    300=50x2^3t
    6=2^3t
    log6=log2^3t
    log6=3tlog2
    3t=log2/log6
    3t=0.387
    t=0.129
    thankyou
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  2. #2
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    e^(i*pi)'s Avatar
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    You have your division the wrong way around

    \log(6) = 3t\, \log(2)

    3t = \frac{\log(6)}{\log(2)}

    t= \frac{1}{3} \cdot \frac{\log(6)}{\log(2)} = 0.862


    edit: only change the log terms to a decimal for the final answer to avoid rounding errors


    edit II: checking using the original equation: 50 \times 2^{3 \cdot 0.862} \approx 300
    Last edited by e^(i*pi); February 19th 2010 at 06:13 AM. Reason: see post
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  3. #3
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    thankyou=], i have just looked over myself, and have spotted the mistake you pointed out
    and i managed to get the right answer
    =] cheers
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