Thread: True or False?

Hi all,

In this true or false?

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

it's true, haha.

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.

Oh, I misread it, I thought it was on both sides.

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?

Remember to put absolute value to the logarithm.