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Math Help - solving logarithm

  1. #1
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    solving logarithm

    decide the exact value for log a^2+log b^2 if a*b=10^5
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  2. #2
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    Re: solving logarithm

    I think loga^2 + logb^2 is log(ab)^2 which is 2log(ab)
    which is 10 to what power equals 10000 * 2.

    hope that helps.
    Thanks from nowayn
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  3. #3
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    Re: solving logarithm

    the value would be 10
    Thanks from nowayn
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  4. #4
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    Re: solving logarithm

    Yeah thats what I got.
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  5. #5
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    Re: solving logarithm

    thanks got it now
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  6. #6
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    Re: solving logarithm

    Quote Originally Posted by nowayn View Post
    decide the exact value for log a^2+log b^2 if a*b=10^5

    given that a*b=10^5 by applying log with base 10 on both sides log (ab) = 5

    log a^2+log b^2 =log (ab)^2 = 2 log (ab) = 2*5 =10
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