Question

Getting rid of denominators inside a log function:

Answer 1

\[\ln| \frac{x}{2} + \frac{\sqrt{x^2-4}}{2}|= \ln| x+ \sqrt{x^2-4}|\]
This is from the answer key of a textbook.

How did they get rid of the denominator? Or are they incorrect.

Answer 2

huh

AFAIK that's not a valid mathematical operation @nuts any second opinions?

Answer 3

Alright so I'm not losing my mind then...

Answer 4

yeah looks like they forgot to put in the -ln|1/2|

Answer 5

*** -ln[2]

Answer 6

Oh...actually since it was the answer of an integral question. They had a + C at the end. I guess that's where the -ln(2) went.

Answer 7

xD Thanks.