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  1. #1
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    LOGS

    If log a = 2 and log b = 3, what is the numerical value of [log sqrt{a}/log (b^3)]?
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  2. #2
    Moo
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    Quote Originally Posted by magentarita View Post
    If log a = 2 and log b = 3, what is the numerical value of [log sqrt{a}/log (b^3)]?
    Use this propery :
    \log a^b=b \log(a)

    hence :
    \frac{\log \sqrt{a}}{\log b^3}=\frac{\log a^{1/2}}{\log b^3}=\frac{\frac 12 ~ \log(a)}{3 \log(b)}

    I'm sure you can finish :P
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  3. #3
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    yes..........

    Quote Originally Posted by Moo View Post
    Use this propery :
    \log a^b=b \log(a)

    hence :
    \frac{\log \sqrt{a}}{\log b^3}=\frac{\log a^{1/2}}{\log b^3}=\frac{\frac 12 ~ \log(a)}{3 \log(b)}

    I'm sure you can finish :P
    Yes, I can finish.

    Thanks
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