Else: Is the formula for needed exp at a given level known ???
I don't think anyone knows the formula 100% for sure, though i've definitely seen a couple of posts where people explained how it works for the most part. If you search you should be able to find something.
There is this section in ElementalDefs.xml if you're looking to mod it globally:
<!--** LEVEL UP **-->
<!-- ** combat rating -> experience control ** -->
<CombatRatingToExpMultiplier>0.45</CombatRatingToExpMultiplier>
<!-- <StatPointsPerLevelUp>3</StatPointsPerLevelUp> (Obsolete) -->
<MaxExpFromCombat>-1</MaxExpFromCombat> <!-- set to -1 to disable -->
<MinExpFromCombat>1</MinExpFromCombat>
<MultiplierOnPointsToLevelUnit>1</MultiplierOnPointsToLevelUnit>
<ExpBaseOnPointsToLevelUnit>2.1</ExpBaseOnPointsToLevelUnit>
<ExpMultiplierOnDesignedUnits>0.5</ExpMultiplierOnDesignedUnits>
<UnitLevelUpPerkOfferCount>5</UnitLevelUpPerkOfferCount>
<CityLevelUpPerkOfferCount>3</CityLevelUpPerkOfferCount>
<!-- when trained units get XP, they use it towards leveling up, but also give this percent to the sov. -->
<XPPercentTrainedUnitsGiveSov>0</XPPercentTrainedUnitsGiveSov>