Think of a science-like faith.
I know it probably sounds ridiculous because science and faith are often seen as contradictory, and they always clash, but in this case I believe it is a good comparison.
As a society we have great faith in science. We use it daily in our normal lives. We trust in computer science, automotive science, general science, etc.
Something scientific, in fact, cannot be proved. There is nothing that scientists have found that we can be 100% sure about, since it all depends on human assumptions of some kind, and human error can never be removed from science. Because of this, science cannot be proved.
But we still trust science, because we see all the positive effects of its application in our daily lives.
There are some aspects of science that we take for granted, which really require faith when you consider them. We believe the processes we see are perfect. We believe that doing the same thing twice in the same situation will create the same results 100% of the time.
We also believe that the processes we see today have been the same since the beginning of the universe and will continue to be this way until the end of the world.
There is no way to prove it. There is no way to know that. We just have to have faith and trust that it's true.
Remember: faith is not just a feeling, Faith takes what you can trust and what you cannot.
Do you see the likeness of God there?
I have faith in God. I trust Him every day, and I pray to Him all the time because of my faith in His presence.
His existence cannot be proved, not by human means.
But I still trust God, because I see His effects on the world around me.
In human life, in human minds, and in the beautiful design of the earth, and the order of the universe.
I believe in the existence of God in much the same way as I do with others who have faith in science.