# Math Help - True or False?

1. ## True or False?

Hi all,

In this true or false?

(5/2)ln(1-2x)-2ln(x) = -2ln(x)+(5/2)ln(2x-1)

2. ## Re: True or False?

$a-b=-b+a,$ it's true, haha.

3. ## Re: True or False?

Originally Posted by Googl
Hi all,

In this true or false?

(5/2)ln(1-2x)-2ln(x) = -2ln(x)+(5/2)ln(2x-1)
Dear Googl,

The equation is false. Substitute x=1.

$\mbox{R.H.S}=0$

$\mbox{L.H.S}=\frac{5i \pi}{2}$

4. ## Re: True or False?

Oh, I misread it, I thought it was $1-2x$ on both sides.

5. ## Re: True or False?

One of them is the correct result of an integration using partial fractions. For some reason (I don't know) some of the results are in this form -2ln(x)+(5/2)ln(2x-1) however the first one: (5/2)ln(1-2x)-2ln(x), note there is a pattern (2x-1) instead of (1-2x).

This was for the integration of:

(x+2)/(2x^2-x)

Is there something I need to understand here?

6. ## Re: True or False?

Remember to put absolute value to the logarithm.