Logarithm & Exponent Calculator
Log to any base, natural log (ln), antilog and powers — with the exponent and log rules worked out.
Result
How to use
- 1
Choose log, antilog (power) or natural log.
- 2
Type the number and the base (10, 2 or any positive number except 1).
- 3
See the answer with ln, log₁₀ and log₂, a check and the log and exponent rules.
Questions
What is the difference between log and ln?
log usually means base 10 (common log) and ln is base e ≈ 2.71828 (natural log). They are linked by ln x = 2.302585 × log₁₀ x.
What is an antilog?
The reverse of a log. If log₁₀ x = 2.5 then x = antilog 2.5 = 10^2.5 ≈ 316.23. Log tables used in Indian schools give log₁₀ values.
How do I change the base of a log?
Use log_b(x) = log(x) ÷ log(b) with any common base. For example log₂ 1024 = log 1024 ÷ log 2 = 3.0103 ÷ 0.30103 = 10.
About this Log & Exponent tool
Logarithm & Exponent Calculator — Log to any base, natural log (ln), antilog and powers — with the exponent and log rules worked out. It is one of 200 free tools on namasivayam.in, made by software engineer Namasivayam Vadivelan for everyday use in India.
Everything is calculated instantly in your browser: nothing you type or upload is sent to any server, there is no sign-up, and it works on mobile and desktop. Choose log, antilog (power) or natural log.
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Results are estimates to help you plan. They are not financial, tax or medical advice.