It will take a while to explain but here it is: It has to do with guitar/amps and tone.
I'm in a band and have been a guitarist for at least five years now. My band covers "Free Bird". We just played a gig last night at which I started to realize there was a serious problem. When it was time for the guitar solo when the song kicks in at the end, my lead tone (which is distortion on my amplifier) wasn't loud enough. It was too low in the mix even when it was all the way up. I was plugged through my amp only which a 40w peavey Envoy 110. My clean tone is perfectly loud enough but I wasn't going to use that. Any guitarist would know the guitar needs to be driven more to be able to play fast solo licks. I think that mainly the problem is that I need a larger amp to produce larger sound so my lead tone will take over the mix much more aggressively. There is one rhythm guitarist in my band who plays the chords pretty soft during my solo. I still think it's no excuse at all.
Can anyone tell me of any amplifiers, or if amps aren't the problem, equipment that I should look into to be getting a much better lead tone during my live performances.

Cutting through the mix sometimes can be a common problem. What are your eq settings like? Scooping mids can cause you to get lost in the mix.

Alot of guitarists use an overdrive of some sort to boost their overdriven signal to cut through a little better.

I just use the built in footwitchable volume boost on my amp
Agile AL3000
Douglas WRL90
J&D Strat
Squier Tele
Sammick TR2
Douglas Draco
Peavey JSX
Bugera V5