Hello! For the Tahm Kench matchup I personally like taking Lethal Tempo and Ignite with this new season, and just trying to play for a lead especially early on before he becomes tanky. The obvious point is to sidestep his Q since that denies him healing, damage and a slow on you and then you can just all in him pretty much. Also especially early on his E shield is pretty weak so that's why I'd try to push for a lead early.

In lane you can play near minions and walk behind them once he throws Q, or just sidestep if you are confident on that. If he walks up for a cs you can just W him and back off also to get some free damage off. Taking long trades near his tower is risky since if he gets his passive you'll just get thrown under his tower with his ult.

I don't think which build you go really matters in this matchup specifically, so I would just look at your comp and then decide whether you go Trinity Force or Dusk & Dawn route.

Glad you liked the guide! Good luck on the grind with Jax!

Hello! I'm doing good thanks for asking.

Haven't vs'd Ryze much as of recent, but for that matchup I'd probably either go Grasp of the Undying or Fleet Footwork. Grasp will give you stronger short trades especially since Ryze will usually root you when you engage and run away with his Phase Rush. You usually want to let him proc Phase Rush and when its down then engage on him. He is relatively squishy before he acquires Seraph's Embrace so you should be able to wither him down bit by bit as long as you don't get poked by him through the wave. I'd just probably rock the standard build of Trinity Force into Stridebreaker to keep up with him, but you can also throw in a Wit's End for some magic resistance.

I personally run Grasp of the Undying and try to go for just quick W's during lane, also baiting him to W and backstepping out of it and then walking up again. Make sure to deny him the healing off his blobs if possible since thats his main source of sustain. At 6 you have to be careful since his ult spawns a lot of blobs for him and also does a lot of damage. It's not a very good lane for Jax imo but its winnable.

Hello! Don't think that item is something that Jax wants since your ult CD isn't that problematic anyways, and you want ability haste for your normal abilities rather than only your ult.

Hello!

I haven't faced Tahm Kench yet personally, so I can't say yet anything really other than I'd still probably go Trinity Force into Titanic Hydra since early on you can still kill him and afterwards just waveclear with Hydra.

I'm not sure about any of the shred items yet for Jax. In some rare cases maybe Terminus is viable but I won't make any statements yet on that since I haven't tested much. Also in terms of sustain Sundered Sky is a viable option.

Really don't see Guinsoo's Rageblade working for Jax since he has no HP while rushing it and you are also giving up Sheen on first item. If you go Essence Reaver second, still have no HP to tank anything. At its best, it's probably a 4fun build you can do, but personally I don't see it.

Glad you enjoyed the guide! My guide definitely needs a bit of visual tuning but I've been really lazy with putting together new ideas towards it. It will happen eventually though 👍

I still stick to the regular Divine Sunderer -> Wit's End/ Blade of the Ruined King -> situational basically just depending on what enemy team has. Zhonya's Hourglass is pretty nice item even sometimes 2nd if you need to be the one engaging for your team since it will buy you time while your team follows your engage.

While it's true I preferred Wit's End for a long time, my choice basically depends on what I'm laning vs and if they have multiple AP champions. If they have like 2-3 AP champions or more then I probably opt for Wit's End, unless they are really behind and the game seems like a stomp then I might just go Blade of the Ruined King anyways. Blade of the Ruined King is fine if they have less AP damage since you can itemize things like Anathema's Chains vs singular AP champ or a fed AP champ.

Corrupting Potion got nerfed and you don't run Time Warp Tonic because of the nerf on it as well, so its overall just worse these days. Doran's Blade or Doran's Shield is just far superior option these days since it gives good stats for laning and generally allows you to sustain and fight through your way for the first reset to buy Refillable Potion if you need the extra sustain. Only difference is you have to be a bit more conservative with mana but that's why you take Biscuit Delivery to help you with mana issues.

While Conqueror is viable choice, I think Lethal Tempo is still just superior since it makes you a lot stronger in early lane phase and if you can't make use of Lethal Tempo then you opt for Grasp of the Undying in matchups like Akali and Kennen etc where you don't get extended trades.

Zhonya's Hourglass is a situational item for Jax. If you are doing the engaging for your team and your team doesn't really have proper follow up, or if you just need to buy time in general in fights then Zhonya's Hourglass is a fine option.

Hello! Sorry for the late answer as I've been a bit busy with managing school/streaming :P

The build you've listed I can give you my opinions on, though I probably won't try it in a game since I know how most of that build turns out.

Out of the primary tree, I still would say Legend: Alacrity is very overrated, and I would in return favor either Legend: Tenacity or Legend: Bloodline. Jax already has natural attack speed boost so I think you don't need it from Legend: Alacrity, but if you like it then go for it. Coup de Grace is in the same bag though I think it might be more preference thing whether people take Last Stand or Coup de Grace. Personally I just like Last Stand better since most of my builds don't include lifesteal so you are most often dropping to low HP on Jax.

As for the secondary tree, while Domination isn't a bad tree for Jax, offering sustain, I don't really see it paying off in top lane that much. You don't really get much value out of Ravenous Hunter for lane phase, and if you are set behind in a lane getting that kp on the targets that give you the extra healing percentages can be rough, which is why I prefer having Inspiration or Resolve as secondary trees on Jax.

Trinity Force: Standard.

Ninja Tabi/ Mercury's Treads: Standard as well, situational which to go for.

Ravenous Hydra: Is somewhat viable for Jax, but you don't get the auto reset with this one, as opposing to buying Titanic Hydra which offers the auto reset + HP stats that Jax benefits off.

I'm not saying Ravenous Hydra is bad on Jax, but it is outclassed in terms of what Jax really wants which is waveclear and the auto reset that Titanic Hydra offers.

Guardian Angel: Standard, and a really good choice overall if you are getting focused or in general for extra safety.

Death's Dance: Underrated item for sure, gives good healing and also CDR which Jax likes especially in a world that Spear of Shojin doesn't exist in anymore. Only thing is that the item is very costly which can make it sometimes a bitter buy.

Mercurial Scimitar: Situational item, as it really isn't beneficial if there is no hard CC on the enemy team. Though nowadays there is a lot of that in the game, there are times where some other items might still outvalue Mercurial Scimitar even in the cases of there being a lot of CC, since at least in my case I run Legend: Tenacity which helps a lot to deal with that.

As a conclusion, your Jax build seems to revolve around healing, which isn't bad by any means but I think in general your build lacks tankiness aspect a lot. You'll be relatively squishy with this build since your only source of HP is Trinity Force. Sure you have healing but if you get blown up quickly what's the use then? If it's working for you though then keep rocking it since everyone has different playstyles and different builds suit different people.