Weapon damage (in General)

So, I perused the wiki pages regarding damage numbers and weapons and related topics. I found information regarding the influence of strength (x4 strength for x2 damage), but I couldn't find anything regarding the multiplier on weapons.

My question then is 'what influence does the multiplier have on your ranged/melee damage?'. Is it similar to strength, so a weapon increased from x100 to x400 would have double damage, or is it linear, x200 is double, or?

I've been told it could potentially be a misnomer that adds to the top range of the formula.

Anyone out there that might have more knowledge regarding this, that could explain the formula a bit?

Ah, I found it.
Physical damage formula

Weapons are listed as Weapon name [CxWDM] (+PTH), where C - some constant determining a rough power of the weapon ; WDM - weapon damage multiplier (a.k.a. "weapon x") ; PTH - weapon added point to hit (a.k.a. "weapon +")
Damage = Base damage * SQRT ( (ST/20) * Weapon_damage_multiplier )
Base damage is the (min/average/max) damage dealt by that particular weapon at the base weapon stats from a 20 ST minion
That base damage is NOT the "C" number listed in the weapon description, but is based on it (exact formula unknown at this time)
SQRT is the Square Root function (or, in other words X^0.5)
What this means in layman's terms is that the base reference points of all weapons is the damage dealt by an x1 weapon of that type wielded by a minion with 20 ST.

In order to double the damage dealt (i.e. increase damage by a factor of two), you can either:

increase ST by a factor of four
or you can increase the weapon X by a factor of four
or you can increase both ST and weapon X by a factor of two each.

Huh. I always assumed it would be more complicated than that. I suppose the complicated part is the unknown formula that uses base damage.