Calculate logarithms with any base. A logarithm answers the question: 'What power must the base be raised to, to get the number?'
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Results
Logarithm
2.000000
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Formula
log_base(number) = log(number) / log(base)
How to Use This Calculator
How to Use
- 1
Enter the number you want the logarithm of.
- 2
Enter the base of the logarithm (default is 10).
- 3
Click calculate.
Frequently Asked Questions
Frequently Asked Questions
What is a logarithm?
A logarithm is the inverse of exponents. If base^result = number, then log_base(number) = result.
What does log base 10 mean?
log₁₀(100) = 2 because 10^2 = 100. It's the most common logarithm used in science and engineering.
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About This Calculator
This calculator uses the formula: log_base(number) = log(number) / log(base). All calculations follow industry-standard methods. Results are estimates — always verify with a licensed professional for structural or code-compliant work.
Built and maintained by the CalcSmart team. Last updated March 2026.
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