Here is the Guide for the exotic Bounties in Destiny. There are total of 5 exotic Bounties at the moment in the Game. You have a 2% Chance to get an exotic Bounty when you give the Bountytrader on the Tower finished Bounties.
For each exotic Bounty you get as reward a exotic Weapon. The Bounty Guide is of based my own Experiences. The Step Descriptions are the same as in the Game..
At the End of the Guide you find a Video with all 5 exotic Weapons in Action.
One Word to the Bounty called *An Unknown Patron *(not in the Guide) I personally think, this Bounty is atm NOT in the Game. No one get this Bounty, there are no Screenshots or something from the Weapon know etc but all Destiny Databases lists this Bounty, curious....
Exotic Bounty #1: A Light in the Dark
The Reward for this Bounty is a Hand Cannon called Thorn. The Steps to obtain the Weapon are:
1 - Complete the Summoning Pits Strike on the Moon
2 - Harvest the Energie of Hive on the Moon the activate the Weapon
3 - Use Void Damage to defeat Guardians in the Crucible
4 - Bring the Hand Cannon to the Speaker
5 - Cleanse yourself and the Weapon with an Infusion of Light
6 - Bring the Weapon to Ikora Rey
7 - Kill Xyor the Unwed
8 - Return to the Speaker
2 - You have to kill Hive Enemies on the Moon until you reach 500 Points
3 - You have to Kill others Player in Crucible with Void Damage Weapons (Special & Heavy) and / or with your Void Damage Character Skill. For every Void Damage Kill you earn 5 Points and for every Death you lose 2 Points.
7 - Phogoth must be unchained and alive until Xyor spawns (most Time with the 4th reinforcement Ship). You have to kill a large amount of Enemies in this Step in the Pit.
Exotic Bounty #2: Toland's Legacy
The Reward for this Bounty is a Pulse Rifle called Bad Juju. The Steps to obtain the Weapon are:
1 - Complete a Weekly Heroic or Nightfall Strike
2 - Bring the Journal to Ikora Rey
3 - Complete 25 Strikes
4 - Bring the Journal to Ikora Rey
5 - Bring the Journal to the Gunsmith
6 - Obtain a darkness infused Weapon frame from Xûr
7 - Bring the Weapon Frame to the Gunsmith
8 - Defeat Guardians in the Crucible
9 - Return the Weapon to the Gunsmith
8 - The Bounty PvP Points are not the same as the PvP Points. For every Titan / Hunter Kill or Assist you get 25 Points and for every Warlock Kill or Assist you get 75 Points. There is no Point penalty if you die.
Exotic Bounty #3: A Dubious Task
The Reward for this Bounty is a Shotgun called Invective. The Steps to obtain the Weapon are:
1 - Talk to Ikora Rey
2 - Complete a total of 5 Strikes without dying
3 - Return to Ikora Rey
4 - Earn a K/D Spread of 25 in the Crucible
5 - Return to Ikora Rey
6 - Complete a Weekly Challenge Activity
7 - Return to Ikora Rey
8 - Purchase an Invective Component from the Gunsmith
9 - Return to Ikora Rey
2 - You have to survive only 5 Strikes, the counter is not reset to zero when you die in a Strike.
4 - 25 K/D Spread = 25 more Kill as Deaths. Every Kill and Assist is +1 Point for the Counter and every Death is -1 Point. As Example, you finished a Match with 10 Kills, 4 Assist and 5 Deaths, your Counter is now by 9 ( 14-5=9 ) In your next Match you have 5 Kills, 0 Assist and 6 Deaths, your Counter is now by 8 because 5-6= -1. In the next Match you have 10 Kills and 0 Deaths, your Counter shows now 18.
6 - Weekly Heroic or Nightfall Strike
8 - you have to buy 50 Special Weapons synthesis Packs which cost total 12500 Glimmer. If you have already some Special Weapons synthesis Packs in your inventory at the time, it will count towards to the 50
Exotic Bounty #4: Shattered Memory Fragment
The Reward for this Bounty is a Fusion Rifle called Pocket Infinity. The Steps to obtain the Weapon are:
1 - Obtain a damaged Ghost from Venus Shattered Coast
2 - Kill a Vex Gate Lord with heroic Modifier active
3 - Bring the unlocked Ghost to the Speaker in the Tower
4 - Bring the Fusion Rifles Schematics to the Gunsmith
5 - Charge the Core by Dismantling 10 rare or higher quality Fusion Rifles
6 - Bring the charged Core to the Gunsmith
7 - Kill enemies in a Weekly Nightfall Strike
8 - Return the Prototype to the Gunsmith
1 - is the Ghost not there, try another from a Collectibles Guide
2 - Storymission on Venus called "Eye of a Gate Lord"
5 - The best Way without Stress is by the Gunsmith. All 3 Hours he changes his Offer. So look every 3h and hope. After a few Days he sold finally the rare Fusion Rifles to me. Buy 11 Fusion Rifles because in one of the next Step you need one Fusion Rifle.
7 - You have to kill 200 Enemies with a Fusion Rifle in a Nightfall Strike, the Quality of the Fusion Rifles does not matter for this Step.
Note: Some User write in the Comments you only need to kill Level 28 Enemies!
Exotic Bounty #5: A Voice in the Wilderness
The Reward for this Bounty is a Machine Gun called Super Good Advice. The Steps to obtain the Weapon are:
1 - Search loot caches on Mars for clues
2 - Bring the Frame to the Gunsmith
3 - Acquire a Pristine Golden Age Ammunition Module from Xûr
4 - Kill enemies with Machine Guns
5 - Bring the Frame to the Gunsmith
1 - you have to find random Chests on Mars
3 - Cost one Strange Coin
4 - You need 500 Points for this Step. For every Kill with a Machine Gun you get 1 Point. For every Headshot with the Machine Gun you get 3 Points. If you use a Rocket Launcher on this Step, you lose for every Kill 5 Points.
All 5 exotic Weapon in Action
Credits: Special thanks to 360GameTV for the tip and video guide.