its my first guide with my second best champion plz comment my build if you try it.

don't comment for the mistake im not good in english.

this jax low hp but they have armor, magic resist, lifesteal, spellvamp
fast atack speed, slow enemy movement, high dps, dodge and stunt.

the old lore
The most prolific tournament fighter at the Institute of War, the self-proclaimed "Grandmaster at Arms" rattled off a streak of consecutive wins 152 long. No one had ever achieved even half of that number before, but what made it even more remarkable was that he did so while fighting only 152 matches.

Concerned the peace accords that ended the Rune Wars would be threatened by a fighter who was unbeatable in the arena, the League hastily banned Jax from the arena all together. But in the spirit of the Institute, the League eventually relented, stating that a champion’s skill was no reason to remove a realm’s access to the governing powers of the tournaments.

Jax was reinstated, but with one rule: He is only allowed to fight with weapons the League deems suitable. For now, that list includes a lamppost, a chicken’s foot, a spatula, and a fishing rod.

you can place them near a wall.
don t forget you can jump(q) on them over a wall for run or gank ^.^

at dragon or in bush

Wriggle's Lantern is on of the best cost/effect item in whole League of Legends.
If you just look at all of those stats it gives: AD, armor, lifesteal, minion bonus damage proc, FREE WARD every 3 minutes.
Ok, so this is nice, BUT there are games when you need it and when not.
You should use Wriggle's Lantern IF:
•You have extremely hard lane oponent.
•You need better lane sustain.
•You are jungling
Wriggle's Lantern is NOT GOOD IF:
•You have easy lane with kills and creep score advantage.
•You wanna rush . The prize of Wriggle's Lantern is 1600 gold. That is Sheen and almost Ruby Crystal on trinity force. Make a decision if its worth to buy or not.
Everyone knows that wards save lifes. Dont forget to use it. You will mostly buy some additional wards, but the one free from Wriggle's Lantern is a great benefit.

Leap Strike can target friendly units. The trick is to place ward behind wall and jump on it. This requires great TIMING and low LATENCY. If you can, use it.

trinity force= at the place of wriggle lantern, force of nature or thornmail depend on enemy.

madred's bloodrazor= at the place of guinshoo`s rageblade
or at the end at the place of guinshoo's rageblade

boots=its depend on enemy.
alot of stunt, slow, silence, ap take mercury`s treads
berserker`s for the rest

Hextech Gunblade= Gives AP,AD,lifesteal,spellvamp, and a ranged slow mini-nuke active that's great for bursting and chasing.
Trinity Force= This is an all around great item for jax build from sheen to add to burst dmg along with a lot of stats that just make jax a monster but expensive some critical slow enemy atack speed movement speed ...
some people prefer frozen wallet 1k gold less but for jax trinity give alot more better stats
bloodthirster= can be good if you need more lifesteal. enemy team more ad and you dont take force of nature.dont forget low magic resist dangerous because only 2300hp

ALL GOOD XD

mark=
atack damage
atack speed
armor pen

seal=
armor
armor per lvl

glyph=
magic resist
magic resist per lvl
ability power per lvl

quintessence=
life steal
armor penetration
attack speed

my sequence is
hextech gunblade active for run, if enemy run or at the start of battle its depend on the enemy

r e w q exhaust
after e and r when you can

you can jump(w)(q) dodje(e) and (r) for auto attack

pros=
jump (q) on a ward over a wall
1vs1 unbeatable
high dammage ad and ap
stunt
hextech gunblade incredible slow 50% 3 sec
op vs range and carry champion
dps champion

cons=
critical
stunt/fear/slow/silence
jax can miss is stunt
noob until lvl 6-11 depend on enemy
noob with out stuff

after wrigle lantern and boots you can solo dragon (easy) and jungle

you can also buy a 21/9/0 mastery for more hp

this chapter create by ( I_Drink_Lysol ) its not mine.
a very good chapter for know if your enemy good or not vs jax.
you can kill easy a 5 or death by a 1 its depend on your skills,runes and item never underestimated your enemy

Since Jax is mainly a solo top champ, I will give a list of match ups of potential opponents you will face.

This is on a scale of 1-5, 1 being the easiest and 5 being the hardest.

Akali 3 - Well Matched
The only reason I gave Akali a 3 instead of a 2 is because a good Akali is hard to kill if they use her invisibility correct. She has pretty good harass, but at level 6 she can't touch you at all. If it's before level 6, and she uses her invisibility, try to stay back because her harass can hurt if you let her repeat it.

Blitzcrank 2 - Easy
Blitz can't do too much to hurt you, and even early game you should be able to take him down. If Jax beats you early game, then come level 6, you have no shot at winning. Just stay behind minions when farming to avoid his pull. When he is by his turret, stay in the bushes because one pull > knock up > silence on his turret and you are dead.

Cho'Gath 4 - Disadvantage
I gave Cho a difficulty of 4 because he is extremely hard to kill between his silence and knock up, and it's near impossible to tower dive him. Once you both hit level 6 you can hit him hard, but you gotta do it fast before you starts using his ult to beef up.

Dr. Mundo 4 - Disadvantage
When Mundo has his ult, he is nearly impossible to kill even for Jax. Although if you take Ignite instead of Flash you could land kills pretty easy if you ignite his ult. He can kill you early game though, so be careful and don't under estimate his damage.

Fiddlesticks 2 - Easy
Fiddle is a great 1v1 champ, and will destroy you early game with his drain/fear/silence combo, but once you hit level 6, he is just too squishy too survive.

Galio 2 - Easy
Galio can't do much to you, and he will usually stack magic resistance, but you can still box him out and farm really easy. Although you might not land a kill on him.

Gangplank - 3 Well Matched
The only reason Gangplank is a 3 is because is early game is nasty against you. You could grab a Doran's Shield against him to stop his pistol damage. He will hurt a lot early game and a good Gangplank will shut down your farm which could make it difficult.

Garen - 5 Major Disadvantage
Garen is really rough because he is extremely hard to kill and you can harass him all you want, but his passive will keep him at a good amount of health. His silence + spin combo will hurt, but you can leap strike away, unfortunately though you will still eat a good but of it because of his silence.

Irelia - 1 Easy
Irelia doesn't have much she can do to you, even early game. Early game she still beats you, but probably wont kill you. At level 6, you should dominate her

Jarvan IV - 5 Major Disadvantage
Just like Garen, he should be able to kill you, and you shouldn't be able to kill him. He has an excellent get away, and a good ult for trapping you. He's just too tanky with a good escape to be able to kill him.

Katarina - 2 Easy
Pretty good harass early game, but can't do much to you. She can jump to you instantly, but that means she does half of your work for you, saving Leap Strike for when she tries to run. Just Leap Strike away when she uses ult.

Malphite - 2 Easy
He doesn't do as much damage as some of the other solo top tanks, so you should have good farm, and you might even be able to land a kill or 2 on him.

Mordekaiser - 4 Disadvantage
Morde is really strong early game and a good Morde will keep his shield up to stop your harass, even at level 6. You could go toe to toe with him at level 6, but it wont be as easy as some other champs. Be really careful for his harass early game. Stay away fro your minions.

Nasus - 5 Major Disadvantage
Nasus might be one of the very few Jax can't go toe to toe with because if you both use your ult, he wins. Wither is gonna hurt your escape but Leap Strike should be able to handle it. Try to harass as much as you can at level 6 without starting a toe to toe fight. This will hopefully slow his farm.

Nidalee - 2 Easy
The only reason I didn't give Nidalee a 1 is because if she goes AP, 1 shot from her spear can really wreck you. Be sure to dodge spears and even Leap Strike if you need to avoid them. You should be able to destroy her though early game if she is AP. If she is AD, she can't really hurt you until level 6. Even then, you still win.

Olaf - 3 Well Matched
Olaf could very easily be a 4 but I think Jax and Olaf are pretty well matched. His Reckless Swing will hurt even with armor due to its true damage. When he gets low, he will destroy you as well. Save your dodge for when he gets low to avoid his massive damage increase.

Pantheon - 1 Easy
Wait, what does he do again exactly?

Poppy - 3 Well Matched
Poppy is pretty strong and her passive is a pain, but her ult isn't a huge factor against you. As long as you stay away from the walls, you should be fine.

Renekton - 4 Disadvantage
Rene has a good gap closer, escape, and a stun which makes for a pain in the ***. Just like Nasus, when he pops his ult, you can't win, so rarely will you kill him, while on the other hand, he can kill you pretty easily.

Riven - 3 Well Matched
Riven has a good escape, gap closer, and a stun like Rene, but also a minor shield. Since her ult doesn't make her invincible, you can kill her, but it wont be easy. Be careful if your low because she can ult a pretty good distance.

Rumble - 3 Well Matched
Rumble will tear you up early game and probably stop your farm, but you will shut him down after that. Since you wont be farmed though, you wont be as strong as normal.

Ryze - 4 Disadvantage
Ryze is really tough to kill because of his Rune Prison, but he is very squishy if you can get to him. Be careful though if you're low because one Rune Prison into two Overload, you will be dead.

Shen - 5 Major Disadvantage
With his new buff, it's a case where he can harass you early and hard. Not to mention he can kill you but you can't kill him.

Shyvana - 3 Well Matched
Shyv can't do much to you until she is level 6, but at the same time neither can you. At level 6 though the toe to toe fight can go in either direction, so be careful here.

Singed - 5 Major Disadvantage
Singed is one of the best tanks and the inability to chase I'm down makes it difficult to land a kill, and he can limit your farm pretty easily. Another case of he can kill you but you can't kill him, except he can kill you easier than some of the others.

Sion - 5 Major Disadvantage
He is everything Jax is not. Better stun, better ult, better harass. You will not be able to harass him, stop him from farming, or go toe to toe with him.

Talon - 2 Easy
Talon can't do TOO much that can hurt you, but is really effective at getting away. He wont beeat you, but you might not beat him.

Tryndamere - 3 Well Matched
Early game you are both pretty equal, but at level 6 you have the advantage. As long as you don't engage him when he has full fury, you could easily make him burn his ult. You might not ever kill him though.

Volibear - 5 Major Disadvantage
Voli does absurd amounts of damage for a tank and you will not kill him. If you took Ignite you might be able to land a kill but it's a long shot, kinda like Dr. Mundo.

Yorick - 3 Well Matched
Yorick has amazing harass and amazing life steal, so you wont do much to him even with your harass early game. At level 6 however, you should hit him hard, though you might not kill him.