From Latter-day Prophets:
Brigham Young

By the Spirit are all things made known unto the prophets, which shall come (1 Ne. 22:2).

President Brigham Young taught the Saints about revelation. He said that each person receives revelation for his or her own life and that he, as President, received revelation for the whole Church. When the Lord needed the Saints to know about the future, He would tell them through their prophet. Our current prophet also receives revelation for the Church and prophesies of things to come. (Brigham Young portrait by John Willard Clawson.)

“Well, Brother Brigham, have you had visions?” Yes, I have. “Have you had revelations?” Yes, I have them all the time, I live constantly by the principle of revelation. …

“Do you have the revelations of the Lord Jesus Christ?” I will leave that for others to judge. If the Lord requires anything of this people, and speaks through me, I will tell them of it. … We all live by the principle of revelation. … Are the heavens opened? Yes. … “Do you know the will and mind of the Lord?” Yes, concerning this people, and concerning myself. Does every one of my brethren and sisters know the will of the Lord? Let me say to the Latter-day Saints, if they will … follow the Lord Jesus Christ … , [they] will receive more, know more, and have more of the Spirit of revelation.
(Discourses of Brigham Young, pages 39–40.)