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Logarithm Calculator
log₁₀(100)
2
log₁₀
2
ln
4.605
log₂
6.644
Verification (Antilog)
10² = 100
Common Logarithms
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How to Use the Logarithm Calculator
- Select logarithm type (log₁₀, ln, or custom base)
- Enter the number to calculate log of
- For custom base, enter the base value
- View all common logarithm values
Logarithm Properties
- log(xy) = log(x) + log(y)
- log(x/y) = log(x) - log(y)
- log(xⁿ) = n × log(x)
- logₐ(b) = ln(b) / ln(a)
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Frequently Asked Questions
What is a logarithm?
A logarithm answers: 'To what power must the base be raised to get this number?' log₂(8) = 3 because 2³ = 8.
What's the difference between log and ln?
log usually means base 10 (common log). ln is the natural log with base e ≈ 2.718.
What is log of 1?
log(1) = 0 for any base, because any number raised to power 0 equals 1.
Can I take log of negative numbers?
In real numbers, no. Logarithms are only defined for positive numbers.