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Math Help - help with log question

  1. #1
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    help with log question

    I've tried this problem several times and I always end up stuck, I would appreciate any help with it
    (1/49) ^ (1+log7(2)) + 5 ^ (log 1/5(7))
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ringo View Post
    I've tried this problem several times and I always end up stuck, I would appreciate any help with it
    (1/49) ^ (1+log7(2)) + 5 ^ (log 1/5(7))
    do you mean \displaystyle \left( \frac 1{49}\right)^{1 + \log_7 2} + 5^{- \log_{1/5} 7} ? And what do you want to do? simplify?

    The identity you want to use here is: a^{\log_a x} = x
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    do you mean \displaystyle \left( \frac 1{49}\right)^{1 + \log_7 2} + 5^{- \log_{1/5} 7} ? And what do you want to do? simplify?

    The identity you want to use here is: a^{\log_a x} = x
    yes, that's what I meant, and I'm supposed to "evaluate".
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by ringo View Post
    yes, that's what I meant, and I'm supposed to "evaluate".
    Note that what you have is (7^{-2})^{1 + \log_7 2} + \left( \frac 15 \right)^{\log_{1/5} 7}

    Now apply the rule i gave you (you have to tweak things a bit more).
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