How to increase volume of my turntable - pre-amp - amp setup


Hi. Good Day to you all! My first post and first visit.

I have a cheap Scott turntable equipped with a low priced Audio-Technica mm cartridge through a cheap Berhringer pre-amp into a Logitech Z-680 speaker system. I also have a CD player separately into the system.

The volume output from the speakers is markedly lower from records than from CDs. I suppose that CD medium might be a little louder (the loudness war thing?) than vinyl but this seems to be an output problem not a difference in mediums.

I would like to increase  LP volume. How can I do this? Can I get a higher output cartridge for my turntable? How about a pre-amp with higher output? The Logitech speaker system seems plenty powerful.

I've researched but can't seem to find an answer that I understand. 

Thanks!

128x128rajastrums
I believe he needs a phonostage with higher gain or a cartridge with higher output. At 35dB of gain he is not getting even 1 V output from cartridge/Behringer combo. If my calculations are correct it would require 46dB gain from phonostage to get 1 V from a 0.5mV cartridge, based on dB output = 20 x log(1/.005). 

Still wonder what AT cartridge he owns.
I have a cheap Scott turntable equipped with a low priced Audio-Technica mm cartridge through a cheap Berhringer pre-amp into a Logitech Z-680 speaker system. I also have a CD player separately into the system.
If the Berhringer is a phonostage, then I assume all sources are plugged into the Logitech. There are no specs listed, but it accepts line level inputs.
The budget AT carts I looked up are rated at 3.5, 4.2, and 5.0mV at 1 kHz. So it seems that a MM cart into a phonostage with 35dB gain is too low.

https://www.amazon.com/Logitech-Computer-Speakers-5-Speaker-Silver/dp/B00007AKDP
Yes lowrider, I was afraid the OP has one of the budget AT cartridges that had the lower output which would not be suitable for the loudness levels desired with a 35dB gain phonostage. If so, a 5mV cartridge may provide the volume needed but not be equal to the CD player output. A 5mV cartridge and a 40+ dB phonostage would serve much better.  
This is getting a little over-complicated.
The OP has an inexpensive setup. 
Just get this and hook it up and you will be fine. You can always send it back if you don't like it.
https://www.amazon.com/Pro-Ject-Phono-Box-Preamplifier-Black/dp/B01CZW87HS/ref=sr_1_12?s=electronics...
I totally agree that the Pro-Ject is the way to go. When I reread the thread I realized that the Logitech was the only source for power.