A new floating point format

Can express numbers from ~ 2^(2^(10^-308)) to 2^(2^(10^308))
https://www.reddit.com/r/frozenvoid/wiki/algorithms/data_encoding/logfloat

>>12
log₂(3) is transcendental while all dualfloats are algebraic. No matter how low you set the exponent, logfloats cannot encode 3.