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Math Help - inequality and logarithm

  1. #1
    Newbie
    Joined
    Feb 2013
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    iran
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    6

    Post inequality and logarithm

    i have an inequality
    ea => eb
    can i take take the log of this inequality?

    and is the following inequality correct for every "a" and "b"?

    log (ea) => log (eb) then a => b

    thanks a lot.
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  2. #2
    MHF Contributor

    Joined
    Apr 2005
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    Re: inequality and logarithm

    Yes, both logarithm and exponential are increasing functions so if e^a\ge e^b then a\ge b.
    (It would be better to use ">=" for "greater than or equal to". "=>" looks too much like "implies".)
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