Help expanding log?

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February 13th 2009, 05:15 PM
tuckergrl

Help expanding log?

I have been working on this problem all day...can anyone help me?

Problem:

ln(2x+3/X^2-3x+2)^2

I got 2ln(2)+2ln(x)+2ln(3)-4ln(x)-2ln(-3x)-2ln(2)....

Can anyone help?
February 13th 2009, 05:31 PM
skeeter

Quote:

Originally Posted by tuckergrl

I have been working on this problem all day...can anyone help me?

Problem:

ln(2x+3/X^2-3x+2)^2

I got 2ln(2)+2ln(x)+2ln(3)-4ln(x)-2ln(-3x)-2ln(2)....

Can anyone help?

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

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

$2\ln\left(\frac{2x+3}{(x-2)(x-1)}\right)$

$2[\ln(2x+3) - \ln(x-2) - \ln(x-1)]$

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