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Logarithms in any base — log₁₀, ln (natural), log₂ or custom — to 30 significant digits, with the change-of-base working.
Also covers: Log calculator · Natural log calculator · Log base 2
log base 2 of 1024
10
Exactly 10: 2^10 = 1024.
ln x (base e)
6.93147180559945309417232121458
log₁₀ x
3.01029995663981195213738894724
log₂ x
10
Working
Base 10, e (natural log), 2, or any positive base except 1.
The power the base must be raised to, plus ln, log₁₀ and log₂ of the same number.
log_b(x) answers: what power of b gives x? log₂ 1024 = 10 because 2¹⁰ = 1024.
Use the change-of-base rule: log_b(x) = ln(x) ÷ ln(b). This calculator does it for any base.
No power of a positive base is 0 or negative, so the logarithm isn't defined there (in real numbers).
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