math Calculator
Log Calculator
Calculate logarithms with any base. Supports common log (base 10), natural log (base e), and custom bases.
0.00011000000000000000
0.00011000000000
Results
log_base(value)
0
ln(value)
0
log₁₀(value)
0
How to Use Log Calculator
- 1
Enter the value
- 2
Enter the base (default 10)
- 3
View log result
Log Calculator Formula
log_b(x) = ln(x) / ln(b)Example Calculation
Input Values
Value (x)
1000
Base
10
Results
log_base(value)
3
ln(value)
6.91
log₁₀(value)
3
Frequently Asked Questions
What is a logarithm?
A logarithm answers: to what power must the base be raised to get the value? log₁₀(1000) = 3 because 10³ = 1000.
What is the natural log?
The natural log (ln) uses base e ≈ 2.71828.
What is log of 0?
log(0) is undefined; logarithms are only defined for positive numbers.