In learning about other religions, I've discovered that one of the key doctrines we teach that many other churches do not is the principle of revelation. We believe that there are two channels of communication that we can receive from heaven, one directly from God through the Holy Ghost, and one through the priesthood using prophets and other leaders. Elder Oaks of the Quorum of the Twelve Apostles gave a great talk or sermon on this last fall called Two Line of Communication.
What it boils down to is that God answers prayers. If you really want to know how you should be living your life, he has provided a way for you to learn - whether it is directly from the Holy Ghost or more plainly explained by one of his servants (Amos 3:7), there is always instruction available. Especially now with the internet and technology, our access to the scriptures and to the living prophets is un-paramount. A teacher once made the comment that he was reading about an angel appearing to a prophet in the Book of Mormon named Alma the Younger, and was contemplating on what a miraculous one-on-one experience that must have been. Then he turned on his computer and started watching a video of one of the latter-day prophets speaking. It was then that it hit him that there really was no difference. Both provided support and spiritual instruction in a way that was beyond basic human experiences.
The scriptures in the Topical Guide for this topic tended to deal with either showing an example of God answering, or instruction on how we should answer. The scripture that meant the most to me while studying was 1 Peter 3:15 that says:
15But sanctify the Lord God in your hearts: and be ready always to give an answer to every man that asketh you a reason of the hope that is in you with meekness and fear:
So in response to that call, below is what I have written as my answer for the "reason of the hope" that is in me for why I know that God answers prayers. It is from my Mormon.org profile answering the question "In what ways have your prayers been answered?":
When I was a little girl, I took an alphabet book with me to preschool for show and tell. At some point during the day, it got lost and I was really upset. But I went behind the bookcases and knelt down and prayed and within 10 minutes it was found. When I was in high school I had some negative people in my life that would spend a lot of time breaking me down emotionally. I would pray beside my bed every night, and every night I would get a feeling of peace as if someone who really did love me was putting their arms around me and hurting just as much as I was that I was going through a hard time. When I was trying to figure out what school to go to for college I did a lot of praying, but wasn't getting any clear answers. Then I went to visit a school I applied to in Ohio and went to an institute class there. While sitting there I got a feeling and asked in my heart "I'm going here aren't I?" and received a clear voice in my head "Yes, you are." When I was in college I was put into a situation that was not a positive one. I prayed about it and was told to stay. By the end, I was heartbroken and felt as if my entire soul was drained. After some soul searching for several months, I realized that I was made stronger by being there and that God was watching me to make sure that I was not hurt beyond my breaking point. It was not a very positive answer to live through but sometimes answers are like that. We're God's hands on Earth and sometimes that means really being put to work. When my husband and I started dating everything clicked together so perfectly. I prayed a lot about whether I should marry him. He was not LDS and I knew I should be worried about it, but it was like there was a barrier inside me keeping me from worrying. So I moved ahead with our relationship. Later on, after he came out of the water when he was baptized, I had a feeling like I was looking into a mirror when I was with him - knowing that I was suppose to marry him.
