Logarithm Calculator — सूत्र
## How Logarithms Work
### Definition
**log_b(x) = y means b^y = x**
The logarithm answers: "To what power must I raise the base to get this number?"
### Common Types
- **log₁₀(x)**: Common logarithm (base 10)
- **ln(x)**: Natural logarithm (base e ≈ 2.71828)
- **log₂(x)**: Binary logarithm (base 2)
### Change of Base Formula
**log_b(x) = ln(x) / ln(b)**
### Definition
**log_b(x) = y means b^y = x**
The logarithm answers: "To what power must I raise the base to get this number?"
### Common Types
- **log₁₀(x)**: Common logarithm (base 10)
- **ln(x)**: Natural logarithm (base e ≈ 2.71828)
- **log₂(x)**: Binary logarithm (base 2)
### Change of Base Formula
**log_b(x) = ln(x) / ln(b)**
हल किया गया उदाहरण
Calculate the logarithms of 100.
- log₁₀(100) = 2 (because 10² = 100)
- ln(100) ≈ 4.605170
- log₂(100) = ln(100)/ln(2) ≈ 6.643856