Question

Please check my work:
Expand the following logarithm completely

Answer 1

?

Answer 2

One sec, trying to load the picture.

Answer 3

http://prntscr.com/dl2kke

Answer 4

ok. but where is your work ?

Answer 5

(5/2)logM+(3/2)logN+(1/2)logR-(29/12)logP-(7/4)logQ

Answer 6

When I move my pictures to my computer, it makes the quality horrible to the point where you can't even read it.

Answer 7

Do you know a way to directly take a picture from my phone to openstudy?

Answer 8

Step by step...
Can we start?

Answer 9

use the posibility to attach file

Answer 10

Haha wow this log looks fun :D

Answer 11

There isn't an option.

Answer 12

The picture is clear and enough to start solving the problem///
Do you want to start, @Seratul ??/

Answer 13

But there is a lot of writing that would take me forever to type on here.

Answer 14

But I got this as an answer
(5/2)logM+(3/2)logN+(1/2)logR-(29/12)logP-(7/4)logQ

Answer 15

Let me try to get a better picture.

Answer 16

I think it is good, why you don't accept that?

Answer 17

This one is better- http://prntscr.com/dl2nvr

Answer 18

@3mar This is a long problem and I wanted to make sure I didn't get it wrong.

Answer 19

So does my work look right?

Answer 20

I am checking

Answer 21

Alright, thank you. I appreciate it.

Answer 22

Don't mention it!
You are welcome!
I am here for your help.

Answer 23

Can you recheck that?

Answer 24

Whoops, good catch
(5/2)logM+(3/2)logN+(1/2)logR-(41/12)logP-(7/4)logQ
That should be the new answer.
I changed P to P^2 and made it P^(-41/12)

Answer 25

it'd be a good idea, to simplify the radicand firstly
that way it will consolidate the P's and Q's as well as their exponents
thus you'll end up only expanding the simplified form
rather than doing the combining later

Answer 26

Oh, okay. I'll remember that the next time I have a problem like this.

Answer 27

so can you re-post what you got after this correction to check it for you @Seratul ??