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! Glad that you found the guide great!

As for your question about items like Enchantment: Runic Echoes, Wit's End and Guinsoo's Rageblade, I'll tell my opinions on them happily!

For jungle enchantments, I really only rate Enchantment: Cinderhulk, since it by far is the most effective for Jax out of the bunch. Enchantment: Runic Echoes is more aimed at AP junglers, you really don't go AP Jax unless you play URF or play a 4fun game on normals etc.

Wit's End is a fine choice on Jax, although it is one of the more situational MR items since it's only real defensive side is the MR, while others offer HP, or even a shield in addition. Wit's End is fine as an MR item though if you can actually fight the AP champions for enough long to make use of the healing part. If the opposing team has more bursty AP champions, the logical choice will be Maw of Malmortius instead.

When it comes to Guinsoo's Rageblade, I don't rate this item on Jax. It's gotten changed so much and it has just become worse imo overall. I think it might still be even bugged for Jax that you don't get full value out of the item anyways. I always justify not buying Guinsoo's Rageblade by saying that there are better items to build. You already have 2 offensive items in your core build atm at the very least ( Trinity Force and Spear of Shojin), rest of the items are of course always situational but most of the time they are defensive items. Guinsoo's Rageblade is purely an offensive item which really doesn't benefit Jax that greatly. He already has an attack speed boost naturally, and high attack speed is overrated anyways since you still have to move between autos in most cases which makes a high attack speed irrelevant in most cases. Of course while splitting towers it can be helpful but I haven't ever felt that I lack attack speed with the current Jax builds.

Hopefully this answers your questions!

Wit's End can be an option if you're against only AP champions, as of how Jax stands right now it's either between
Maw of Malmortius or Wit's End if not even Adaptive Helm if you want to become more tanky, all depending on what you prefer ( Abyssal Mask & Spirit Visage is considering another source of MR options but very debatable in my opinion). As for Guinsoo's Rageblade, it's not what it used to be & items such as SoS ( Spear of Shojin) outclasses Guinsoo's in a lot of different ways. Also, don't ever build Runic when you play him in the jungle, he's not an AP champion, he's AD. Runic is meant for junglers that makes use of AP, e.g. Evelynn, Elise, Amumu.

This is just my opinion though, PH45 might have something different, just saying. :)