LOGS

**magentarita** · November 17th 2008, 10:21 PM

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

**Moo** · November 17th 2008, 11:17 PM

Originally Posted by magentarita

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

**magentarita** · November 18th 2008, 09:33 PM

Originally Posted by Moo

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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