Logarithm Table: Logarithm (log_base of number) by Number
Reference table of logarithm (log_base of number) for Logarithm across a range of number values — exact, engine-computed figures you can read off at a glance.
Logarithm Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Logarithm (log_base of number)
3.000000
- Natural log (ln)
- 6.907755
- Log base 10
- 3.000000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Logarithm Calculator
The Logarithm Calculator works out your logarithm (log_base of number), along with 2 related figures in an instant. Enter number and base and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the number.
- Enter the base.
- Read off your logarithm (log_base of number), together with natural log (ln) and log base 10 — the calculator updates automatically, with no button to press.
Worked example
For example, with number of 1,000 and base of 10, the logarithm (log_base of number) is 3.000000.
| Number | 1,000 |
|---|---|
| Base | 10 |
| Logarithm (log_base of number) | 3.000000 |
|---|---|
| Natural log (ln) | 6.907755 |
| Log base 10 | 3.000000 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Logarithm
- The power to which a base must be raised to produce a given number.
Frequently asked questions
A logarithm answers the question: to what power must the base be raised to get this number? For example, log base 10 of 1000 is 3 because 10³ = 1000.
The natural log, written ln, is the logarithm to base e (about 2.71828). It appears throughout maths, science and finance.
Using the change-of-base rule: log_b(n) = ln(n) ÷ ln(b). This calculator uses that formula so it works for any base you enter.
Logarithms are only defined for positive numbers, and the base must be positive and not equal to 1, so the calculator requires positive inputs.
Enter the number. Enter the base. Read off your logarithm (log_base of number), together with natural log (ln) and log base 10 — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Logarithm: Formula, Steps & Examples
Learn how to calculate Logarithm — the formula explained step by step, with worked examples and a free calculator to check your answer.