The layout of Victory Road is different between Pokémon Black 2 and White 2. This page gives a walkthrough of Victory Road in Black 2.
Go north. You will encounter Ace Trainer Billy, who has a level 55 Golurk and a level 55 Sigilyph.
Go north again, and use Strength to push the boulder left once, then up into the hole. Then go north past the boulder, then go west and you will encounter Psychic Alia. She has a level 54 Lampent and a level 54 Musharna.
Now go north and up the stairs.
Go north along the bridge. You will encounter Ace Trainer Shelly, who has a level 55 Swoobat and a level 55 Lilligant.
Go west, then up the stairs, then continue west. You will see Ace Trainer Beckett near the corner. He has a level 55 Whimsicott and level 55 Unfezant.
Go south and you will find a Max Repel in the southeast corner.
Go south from there and down some stairs to find Veteran Cathy. She has a level 55 Sigilyph and level 55 Crobat.
There is an Ultra Ball south of Veteran Cathy.
To the northwest, you find Doctor Logan, who has a level 54 Clefable. After you defeat him, you can bring your pokémon to him any time to heal them up.
Go into the cave next to Doctor Logan.
Go north to find a hidden Max Revive.
Then go south and to the west. There are two Ace Trainers here. You can have a Double Battle with them if you walk between them, OR you can battle each one individually if you approach each one from the right. Shanta has a level 55 Heatmor and level 55 Galvantula. Webster has a level 55 Durant and level 55 Ferrothorn.
Continue going west. If you want to go to the Pokémon League now instead of exploring the mountains and caves, go north and push the Strength boulder north, then go east, battle the trainer, and keep going east until you reach an exit. After you go through that exit, go west, then north. Keep going north as far as you can, battling trainers on the way, then go west and battle the trainer, then go north and battle the trainer near the cave door. Afterward, go through that cave door. Save and heal up, because when you walk to the left, Hugh will challenge you. After that, go west and follow the path to reach the Pokémon League.
Otherwise, after the two Ace Trainers, go west, then south and out of the cave.
Mountain Base, part 2
To the south, you find Backpacker Mae, who has a level 54 Sawsbuck.
If you have Surf, you can go east and get the Escape Rope there.
From here, you can use Waterfall to go down the waterfall, then Surf east to a cave opening in the south wall.
Ruins, part 2
Surf as far south as you can go, then go west and south, and get out of the water. To the east, you can have a Double Battle with Veteran Claude and Veteran Cecile. Claude has a level 55 Braviary and level 55 Carracosta, and Cecile has a level 55 Mandibuzz and a level 55 Archeops.
Go east from them, then south, then west. You find TM93 Wild Charge.
If you go east, you have to jump down a ledge. You can battle two trainers here, but you will have to go back to the entrance afterward. To the south, there is Psychic Al, who has a level 54 Metang and a level 54 Cofagrigus. To the north, you find Ace Trainer Jamie, who has a level 55 Drifblim and a level 55 Claydol.
After battling them, go east to return to the entrance. Then follow the path back to the door that you went through to find the backpacker standing near the top of the waterfall. Instead of going outside, go north and west.
If you did not go east down the ledge after battling the Veterans, you can use Surf and Waterfall to go back to the area with the backpacker you fought earlier. From there, go back into the cave, then go north and west.
There is a hidden Full Restore on the rock near the south wall, and then to the west you will find Veteran Abraham, who has a level 55 Gigalith and a level 55 Skarmory.
Go south from him to go outside. Go southeast through the grass to find a Max Repel. Then go north and follow the path to find Ace Trainer Pierce, who has a level 55 Swanna and level 55 Ampharos.
From there, go east and use Surf to enter the water. Go south to reach a new area. Walk west to find a cave entrance. Go in.
In the forest, go southwest and use Cut to get a Full Restore. Then go northeast and you will find Ace Trainer Chandra, who has a level 55 Darmanitan and level 55 Tangrowth. Then go farther northeast to find an Ultra Ball.
You can go south and down the stairs to reach the entrance cave again.
Caves, part 3
Go south to find a Strength boulder. Push it left, down, right, down, right, up, right, and down. Then you can go east to find Ace Trainer Jamie, who has a level 55 Drifblim and a level 55 Claydol, and to the south there is Psychic Al, who has a level 54 Metang and a level 54 Cofagrigus. If you go farther east, you can jump down a ledge to go back to the entrance, but you will have to go the long way back to the inner cave. Return to the two Ace Trainers who are facing each other in the cave, then skip the next paragraph.
If you choose not to jump down the east ledge after fighting Psychic Al and Ace Trainer Jamie, go west, then north into the forest again, then go northwest to return to the mountains. From there, walk east, then surf north and walk onto the area near the Ace Trainer. Go back into the cave, then go east to the middle.
Go north and you will see two Strength boulders. If you are ready to go to the Pokémon League, push the eastern boulder to the north, then go east and battle the trainer, then keep going east until you reach an exit. After you go through that exit, go west, then north. Keep going north as far as you can, battling trainers on the way, then go west and battle the trainer, then go north and battle the trainer near the cave door. Afterward, go through that cave door. Save and heal up, because when you walk to the left, Hugh will challenge you. After that, go west and follow the path to reach the Pokémon League.
Otherwise, if you want to explore the rest of the cave before you go to the Pokémon League, push the eastern boulder north, then go north and through the cave door.
It is very dark in here, you will need to have a pokémon use Flash in order to see where you are going. Fortunately, there are no trainers in this dark area.
Go west, then north past the steps. Go east to find a PP Max. Then go south and look for the stairs to the east. Go up, and there is a Red Shard near the top of the stairs. Continue going east and down some stairs. To the south of the water, there is a Rare Candy. To the north, there is a Max Elixir.
Go north, then west, and then go north again when you can. Follow the path around to an exit. Go through.
Mountains, part 3
If you are ready to go to the Pokémon League, you can just go north until you reach the cave that leads there, battling two trainers on the way. Be sure to save when you enter the cave, because Hugh will challenge you when you walk to the left.
Otherwise, if you want to explore more, then go north and east to find a Dragon Fang, then go southeast from there, down some stairs. Then go northeast to find another cave entrance.
Caves, part 4
Go west, then all the way south to reach Veteran Hugo, who has a level 54 Fraxure, level 54 Flygon, and level 54 Zweilous.
Go west from him, then south to find a Dragon Scale. Your path will be blocked if you jump down the ledge to the left and go south, so just go back the way you came until you are outside again.
Mountains, part 4
Go northwest. You will see two trainers to the north, but don't go that way yet unless you are ready to go to the Pokémon League. Instead, go west until you find some stairs to the south. Follow the south path and you will find Battle Girl Chalina, who has a level 54 Throh and level 54 Sawk.
After fighting her, go west and down the stairs. Then go east until you can go north. There is a hidden Rare Candy up above.
Go south again and look for a Max Revive to the left. Continue going south, then west to find Ace Trainer Elmer, who has a level 55 Zweilous and level 55 Eelektross.
Go south from him, then east and into the cave.
Caves, part 5
Go east to battle Pokémon Ranger Elle, who has a level 54 Magmar and level 54 Camerupt.
Go east from her and push the boulder east. Keep going east and battle Pokémon Ranger Eddie, who has a level 54 Electabuzz and level 54 Probopass.
Continue going east and go outside.
Mountains, part 5
Go southwest, then north. Get the Dragon Fang, then continue going north. You will see Veteran Portia to the right. She has a level 54 Zebstrika, level 54 Sawk, and level 54 Starmie.
Go north from her to battle Veteran Sterling. He has a level 54 Beartic, a level 54 Golurk, and a level 54 Throh.
Go north from him and go into the cave. Save and heal up, then go to the left. Hugh challenges you.
Hugh has a level 55 Unfezant and level 55 Bouffalant. In addition, if you chose Snivy, he has a level 55 Simipour and level 57 Emboar; if you chose Tepig, he has a level 55 Simisage and a level 57 Samurott; and if you chose Oshawott, he has a level 55 Simisear and a level 57 Serperior.
Go to the Pokémon League
After the battle, go west and through the cave door, then go west and north to reach the Pokémon League.