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#1

$Old$ 11-18-2008, 12:21 AM

magentarita $magentarita is offline$

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If log a = 2 and log b = 3, what is the numerical value of [log sqrt{a}/log (b^3)]?

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$Old$ 11-18-2008, 01:17 AM

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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

$Old$ 11-18-2008, 11:33 PM

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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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