GlenCalc

Log calculator

The logarithm answers: to what power must the base be raised to give this number?

Use 2.718281828 (e) for the natural log.

Your answer

log base 10 of 1,0003
ln x (natural log)6.907755279
log₁₀ x3
log₂ x9.9657842847

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How we worked it out

Updated as you change the numbers.

  1. Change of base: log_b(x) = ln(x) ÷ ln(b) = 6.90775528 ÷ 2.30258509.

Method and assumptions

log_b(x) = y means bʸ = x. Any logarithm can be computed from natural logs: log_b(x) = ln x ÷ ln b. Logarithms are defined for positive x and positive bases other than 1.

Questions

What is log base 2 of 64?

6, because 2⁶ = 64.

Sources

Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.

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