Power to the Pylons - Lestallum
First Available: Chapter 8
Other Requirements: Complete Steam Valve Inspection
Rewards: 3,000 EXP & 5,000 Gil
You'll be able to accept the Power to the Pylons quest after first completing the Steam Valve Inspection quest given to you by Holly in Lestallum. When you accept this quest there will be three other quests that are also added to your Quest Log, Power to the Pylons I, Power to the Pylons II, Power to the Pylons III. Each has you visit a different location and do basically the same thing for each quest.
For these quests what you're going to have to do is head to the location marked on your map then look around for a Pylon with a ladder. You can tell if a Pylon has a ladder or not from a distance by checking whether or not there is a cart attached to it. An example of what I am talking about is shown in my screenshot below.
You'll be able to see these carts attached to the Pylon from quite a distance away, all you have to do is climb the ladder and then inspect a lever at the top of the Pylon to complete the quest. Visit each of the three areas marked on your map for the Power to the Pylons quest then return to Holly and turn the quests in.
Treasure Tip: Around each of the Pylons and in between the Pylons you'll commonly find treasures, most of which are not marked on your map. If you're interested in treasure hunting, running along the pylon lines and looting all you find until you get bored wouldn't be such a bad idea.