I have the problem

Expand:

$\displaystyle 4\ln(x)+\left(\frac{\ln(x^2+3)}{2}\right)$

Is it legal to distribute ln like this?

Here is what I got:

$\displaystyle 4\ln(x)+\left(\frac{2\ln(x)+\ln(3)}{2}\right)$

Thanks.

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- May 26th 2010, 05:01 AMdwatkins741ln division question
I have the problem

Expand:

$\displaystyle 4\ln(x)+\left(\frac{\ln(x^2+3)}{2}\right)$

Is it legal to distribute ln like this?

Here is what I got:

$\displaystyle 4\ln(x)+\left(\frac{2\ln(x)+\ln(3)}{2}\right)$

Thanks. - May 26th 2010, 06:31 AMCaptainBlack
- May 26th 2010, 06:38 AMSudharaka
Dear dwatkins,

$\displaystyle \ln{(a\times{b})}=\ln{(a)}+\ln{(b)}~but~\ln(a+b)\n eq{\ln{(a)}+\ln{(b)}}$

You could find more information about identities of logarithms at, List of logarithmic identities - Wikipedia, the free encyclopedia

Hope this will help you.