Logarithm Formulas
log_b(x) = ln(x) / ln(b)
| Type | Base | Example |
|---|---|---|
| Common log | 10 | log(1000) = 3 |
| Natural log | e ≈ 2.71828 | ln(e²) = 2 |
| Binary log | 2 | log₂(8) = 3 |
Key Properties
- Product: log(A × B) = log(A) + log(B)
- Quotient: log(A / B) = log(A) − log(B)
- Power: log(Aⁿ) = n × log(A)
- log_b(b) = 1 always
- log_b(1) = 0 always