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Module · Math · Scientific
Log Calculator
Compute the logarithm of any positive number in base 10, base e (natural log), base 2, or any custom base.
Base
ln x (natural)4.60517
log₁₀ x2
log₂ x6.643856
log base 10 x2
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Guide
How Log Calculator works
Step 01
Enter X
Any positive number.
Step 02
Pick a base
10, e, 2, or your own.
Step 03
See all four
ln, log₁₀, log₂ and custom base — all shown.
FAQ
Frequently asked
Change of base formula?+
log_b(x) = ln(x) / ln(b). That's how the custom base is computed.
Why is log(0) undefined?+
As X approaches 0, log(X) tends to −∞. Not defined at exactly 0 or for negative X.