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    peterzeegas's Avatar
    peterzeegas Posts: 1, Reputation: 1
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    #1

    Apr 3, 2011, 11:46 PM
    if ,a=lg(10/9),b=lg(25/24),c=lg(81/80),show that lg2=7a-2b+3c
    if,a=log(10/9),b=log(25/24),c=log(81/80)
    show that log2=7a-2b+3c
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 4, 2011, 06:34 AM



    Use your log laws to break it up and simplify in terms of log(2), log(3), log (5). Everything with cancel except for one little ol' log(2).

    For instance, to break up log(25/24), we can write it as



    Now, to proceed:






    Now, put it altogether and whittle it down to log(2).
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