What is the approximate mathematical relationship governing luminosity (L) based on a main-sequence star's mass (M)?

Answer

L proportional M^{3.5}

For main-sequence stars, luminosity is highly dependent on mass, often following the mass-luminosity relation, which approximates luminosity scaling to the power of 3.5 times the mass.

What is the approximate mathematical relationship governing luminosity (L) based on a main-sequence star's mass (M)?
astronomystarmain-sequencemasslifetime