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Math Help - logarithm help! - write as single quantity

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    logarithm help! - write as single quantity

    Hey guys! I need help with this question:

    Write the expression as a logarithm of a single quantity



    I know to make any of it computable in a calculator, the logs need to be in base10. but i'm not sure how to do it because of a, b & c.
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  2. #2
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    Quote Originally Posted by snypeshow View Post
    Hey guys! I need help with this question:

    Write the expression as a logarithm of a single quantity



    I know to make any of it computable in a calculator, the logs need to be in base10. but i'm not sure how to do it because of a, b & c.
    Hi snypeshow,

    Use these basic logarithm properties:

    \log_bx+\log_by=\log_b(xy)

    \log_bx-\log_by=\log_b\left(\frac{x}{y}\right)


    3\log_5a+4\log_5b-2\log_5c=(\log_5a^3+\log_5b^4)-\log_5c^2=

    \log_5(a^3b^4)-\log_5c^2=\boxed{\log_5\left(\frac{a^3b^4}{c^2}\ri  ght)}
    Last edited by masters; October 21st 2009 at 11:33 AM.
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