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    claire3158's Avatar
    claire3158 Posts: 4, Reputation: 1
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    #1

    Jul 27, 2009, 05:15 PM
    Logarithms and solving for variables
    I have 4 logarithmic problems that I need help with...



    log10 (10^1/2)



    log10 (1/10^x)



    log 3 x^2=2log3 4- 4log3 5



    2 log4 9- log2 3
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #2

    Jul 27, 2009, 05:29 PM
    The first one is essentially an identity and quite obvious. Hint for #2 ; rewrite it as log((10^-1)^x). For #3, start by simplifying the 2log3 4- 4log3 5 part by applying the 3rd and 2nd laws of logarithms, in that order. Then, since logarithms are one-to-one, make the arguments equal and go from there. Do #4 in a similar manner ; law #3, followed by law #2.
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