Point 1: The only 9th level eldritch knight who can cast 3 empowered scorching rays in one day has an int of 18+ and is specialized in evocation. If you want an apples to apples comparison of an eldritch knight ray specialist to a straight wizard, of course you are going to compare the eldritch knight to a wizard who is actually (gasp) specialized in casting ray spells in the same way. That's not skewing the comparison. It's making it as reasonable as possible.
Point 2: Int 20 is not unusually high for a 9th level wizard. That's a 16 starting Int plus stat bumps at 4th and 8th level and a headband of Intellect +2. Creating a wizard at 9th or 10th level, an Int as high as 26 is not out of the question (sun elf or gray elf with a +4 headband of intellect (easily within the assumed gp value of a 10th level player character) and a starting int of 18 before racial bonuses). This is not a super wizard. It's a pretty standard wizard.
Point 3: The alternate use of maximize and empower spell is simply a convenient tool to compare (primarily) single target damage spells of different spell levels. It doesn't imply that these are actual characters. However, if you want a quantifiable comparison, you need to use some guidelines. Comparing scorching ray to ray of exhaustion is something that every wizard who prepares and casts spells has to do (a wizard with both in his spellbook could, for instance prep scorching ray in a 3rd level slot instead of ray of exaustion) but it isn't easily quantifiable. Even slightly more similar spells like fire orb and enervation don't exactly lend themselves to good comparisons. (For instance, at 10th level, fire orb stacks up to empowered scorching ray a lot better than it does at either 7th or 11th level).
Point 4. If it is a choice between "one maximized scorching ray and one empowered scorching ray" then A. the wizards are not really ray specialists, packing only one high level spell that falls into their specialty, B. you need to compare the difference between an empowered fireball that the wiz 9 can cast and the ice storm (or ordinary fireball or blast of flame) that the eldritch knight can cast with his other high level slot.
Point 5. An eldritch knight can not simply "kick butt with melee combat when he runs out of spells" as you contend. An eldritch knight such as the ones that have been suggested in this thread who treats strength as a dump stat and/or otherwise has the same stats and feats as a straight caster focussed on rays is nearly as much of a liability in melee combat as a straight caster would be. Without strength or spells, he will not do good damage. Without defensive spells or armor (which affects the spells he can cast or requires a one-level dip into spellsword for a mithral chain shirt), he will not have a survivable AC. And, between wizard and eldritch knight levels, he is unlikely to have more hit points than a typical combat rogue. Don't misunderstand. Eldritch Knights CAN and do kick butt in melee combat. But the ones who do have different stat and feat selections than straight casters, and they choose spells that help them do so.
KarinsDad said:
Only a Specialized Evocation 9th level Wizard with an Int of 20 or higher can have 3 5th level spells. Plus, your super Wizard took two damage boosting feats: Maximize and Empower.
So, you are skewing this quite a bit.
Most 9th level Wizards are not Evocation specialists, nor would they waste two feats on damage boosting that early. It only makes sense to take both of these when you can actually use both of them and the earliest for that is 12th level.
So, what you typically have is a Wizard with a max of 2 Maximized Scorching Rays versus an EK with typically a max of 2 Empowered Scorching Rays (and this is even more possible since the extra spell there only requires an 18 Int instead of 20).
Additionally, most Wizards would not stack their highest level spell with 2 or 3 same metamagic versions of the same spell. So, it tends to be (typically) maybe one Maximized Scorching Ray versus one Empowered Scorching Ray.
6 points of damage more in a single round. Not that big of a difference. Not when you consider that the EK can go in and kick butt with melee combat when he runs out of spells. Most 9th level Wizards run out of spells fairly quick if they have 2 or more combats in a given day.
A more reasonable comparison is that the 9th level Wizard has the same 4th level Empowered Scorching Ray spells plus 1 to 3 5th level spells plus another 4th level spell.
This last bit is really quite likely. Most 9th level wizards will pack the same empowered scorching ray as the eldritch knight does. However, when you ask the question: what can I do to be a better ray specialist: take fighter and eldritch knight levels or stay a wizard (or sorcerer) 9 and simply prep more and better ray spells, the comparison makes it quite obvious: stay a single-classed wizard and take more and better ray spells. If the skill an ordinary wizard has with ray spells is not satisfactory, you're far better off just retooling your spell and feat selection than multiclassing into eldritch knight.
Btw, nobody is arguing that the straight Wizard doesn't have more spell power. But, you are cavalierly dismissing the EK as non-viable and that is just inaccurate.
There's nothing cavalier about the conclusion: an eldritch knight who does not plan to use his melee or ranged weapon ability on a regular basis is simply an ordinary wizard with fewer and lower level spells. An eldritch knight who thinks that having weapon proficiencies and BAB makes him a competent fighter no matter what his stat or feat choices are is deluded. An eldritch fighter who thinks that he can perform well in ranged or melee combat without using some magic to do so is also deluded. If a 9th level eldritch knight wants to play (or fill in) the role of a fighter or barbarian 9, he's going to need to use his magic to make up for the lack of rage, weapon specialization, smite evil, ten points of armor, several points of strength, and three points of base attack bonus. That doesn't need to be (and shouldn't be) the exclusive focus of his spells, but if he doesn't devote stats, feats, spells, and treasure to that role, he's a dead man walking if he ever tries to step into it.