Logarithm Calculator
Calculate logarithms and antilogs in any base — log₂, log₁₀, ln, and custom bases.
Base:
log10(100) =
2
log(x) for x = 100 in all bases
log₂
6.643856
log₁₀
2
ln (logₑ)
4.60517
log10
2
📐 Logarithm Laws
Product Rule
log(ab) = log(a) + log(b)
log₁₀(100×10) = 3.0000
Quotient Rule
log(a/b) = log(a) − log(b)
log₁₀(100/10) = 1.0000
Power Rule
log(aⁿ) = n·log(a)
log₁₀(100²) = 4.0000