Logarithm Calculator
Last updated: 2026-08-24
Logarithm Calculator — Logarithm Calculator. Free online calculator with formula, examples and step-by-step guide.
Inputs
Result
Enter values and press Calculate
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How to use it
- {'step': 1, 'description': 'Identify number (1000) and base (10)'}
- {'step': 2, 'description': 'Find x where 10ˣ = 1000'}
- {'step': 3, 'description': 'Since 10³ = 1000, logâ‚\x81â‚€(1000) = 3'}
- {'step': 4, 'description': 'Natural log: ln(1000) = 6.9078'}
Common mistakes
- ⚠️ Trying to calculate log of zero or negative numbers (undefined)
- ⚠️ Using base 1 which is mathematically invalid for logarithms
- ⚠️ Confusing log base 10 with natural log (base and)
Worked example
Calculate log base 10 of 1000 for pH or Richter scale calculations
The result ({result}) is the exponent to which base_log must be raised to get number; log_natural us is base and (Euler's number).
Input guide
| Field | Typical range |
|---|---|
| numero | Must be positive; typical: 0.001-1,000,000 |
| base_log | Common: 10 (common log), e≈2.718 (natural), 2 (binary); cannot be 0 or 1 |