Logarithm Calculator
The logarithm of a number in any base, plus the natural log.
Result
log_b(x)
3.0000
Natural log (ln)
6.9078
How it works
log_b(x) = ln(x) ÷ ln(b)
A logarithm answers “to what power must the base rise to give x?”. log base 10 of 1000 is 3, because 10³ = 1000.
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Frequently asked questions
What is a natural log?
The logarithm in base e (≈ 2.718), written ln, common in maths and science.
What base should I use?
Base 10 for everyday use, base e for calculus, base 2 in computing — set whichever you need.
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