Logarithm calculator
A logarithm answers: to what power must the base be raised to get this number?
Result
3Logarithm
- Check: 10^3 = 1,000
- ln (base e)
- 6.90775528
- log (base 10)
- 3
- log (base 2)
- 9.96578428
Inputs
- Number
- 1000
- Base
- 10
How it is calculated
log_b(x) = ln(x) ÷ ln(b).
Result
Logarithm
- ln (base e)
- 6.90775528
- log (base 10)
- 3
- log (base 2)
- 9.96578428
How it is calculated
- log_b(x) = ln(x) ÷ ln(b).
- Conditions: x > 0, b > 0 and b ≠ 1.
- Check: b^result = x.
Example
log₁₀(1,000) = 3, because 10³ = 1,000.
Good to know
- The logarithm of zero or a negative number does not exist in real numbers.
- Results are rounded to 8 decimal places.
Frequently asked questions
What is this tool used for?
A logarithm answers: to what power must the base be raised to get this number?
How is the result calculated?
log_b(x) = ln(x) ÷ ln(b).
What should I check before using the result?
The logarithm of zero or a negative number does not exist in real numbers.