Proof log₁₀(0) = 2:

0² = 100×0
log₁₀(0²) = log₁₀(100×0)
2×log₁₀(0) = log₁₀(100) + log₁₀(0)
log₁₀(0) = log₁₀(100)
log₁₀(0) = 2
QED

#math