Logarithm

 is a Tier 5 Tank that upgrades from Exponentiator and Submarine at level 60.

Design
The has an identical front barrel to Exponentiator. It loses its rear swarmer and replaces it with a backwards Submarine. It also gains a decorative triangle on top of its body.

Technical
Like other Exponentiators, the inherits traits from, and fires a particular Cruiser branch. In 's case, it fires small Submarines as missiles. These Submarines have about the same firepower and performance as Exponentiator's Cruiser missiles, so the real power of this tank lies in the tank itself.

Now that it has a Submarine setup as its spawners, it spawns swarms faster, and their slight angle makes it easier for the spawned swarms to loop around back forward rather than having to do a full 180 and lose all their speed. Most notably, the tank itself can become invisible. It is also able to fire while remaining invisible since none of its cannons have any recoil.