📈 Logarithm Calculator

log₁₀(1,000)

= 3

because 10^3 = 1,000

log₁₀(x)
3
ln(x)
6.907755279
log₂(x)
9.9657842847

Step by step

  1. Definition: log₁₀(1,000) = y means 10^y = 1,000
  2. Change of base: log₁₀(1,000) = ln(1,000) ÷ ln(10) = 6.907755279 ÷ 2.302585093 = 3
  3. Check: 10^3 = 1,000

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