Logarithm calculator
All logarithms here come from one high-precision natural log and a change of base, not from Math.log.
Logarithm to your base
3
- Natural logarithm
- 6.907 755 278 982 137 052 1
- Base-10 logarithm
- 3
- Base-2 logarithm
- 9.965 784 284 662 087 043 6
- Base raised to the result
- 1000
Show the working
- Number = 1000
- Base = 10
- Logarithm to your base = log(1000, 10) = 3
- Natural logarithm = ln(1000) = 6.907 76
- Base-10 logarithm = log10(1000) = 3
- Base-2 logarithm = log2(1000) = 9.965 78
- Base raised to the result = 10^3 = 1000
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- log_b(x) = ln(x) / ln(b)