You don't find a point in life by being logical. Logic has no rational answers, not on this level.
You don't find a point in life by immersing yourself in popular but foolish and illogical fictions poorly supported by available evidence. (Sorry, religious people, but there is no sensible way to gloss over this one.)
You don't find a point in life by walking around asking yourself "what is the point in life?" That way leads despair.
You don't find a point in life by figuring out what's wrong with the world and trying to change all of it. That way lies heartbreak.
You do find a point in life by figuring out what things you care about, and caring for them. Do something! Do something practical about something you care about. (A person, a cause, a living creature.) Follow your own path in this. In this context, "practical" has a very wide meaning: it could be creating some art (music, visual art, writing), or working hands-on with the soil, or simply making someone that matters to you happy.
You will never find a point in life by merely trying to gratify your own desires. But nor will you ever find a point by resolutely ignoring your desires. Life only works well when you you do both: when you find something you like doing that also serves your cause well in some practical way. This synergy between ambition and desire is the key to successful living. You must learn, somehow, to meld two or more apparently conflicting goals into a single series of actions — to be both wave and particle, if you like.
By serving your cause (whatever it may be) you begin to feel more satisfied with life, by being happier you become more capable and more productive, which allows you to serve your cause better, which in turn pays off with personal rewards that make you more productive .. and so on. Before too long, you will find yourself wishing there were more hours in every day so that you could achieve even more than you are achieving now.
Damn it, i, get your arse over here and lend me a hand! After 40 wasted years of wondering what the point in life was, I have more useful things that I love to do than I can possibly take care of if I live to be 200 years old, and if someone brings in a 56-hour day to help me get things done. And I have never been happier.