Logarithmic Equation Calculator
Calculate logarithms of any base. Enter a base and value to compute log_b(x), plus natural and common logarithms.
How to Use the Logarithmic Equation Calculator
- Enter the logarithm base (b > 0, b ≠ 1).
- Enter the value (x > 0).
- Click Calculate to see log_b(x), ln(x), and log₁₀(x).
Referencia Rápida
| De | A |
|---|---|
| log₂(8) | 3 |
| log₁₀(100) | 2 |
| ln(e) | 1 |
| log₃(81) | 4 |
| log₅(125) | 3 |
Casos de Uso
- •Solving logarithmic equations in algebra.
- •Computing pH values (log₁₀-based).
- •Analyzing exponential data with log transformations.
Fórmula
log_b(x) = ln(x) / ln(b). Change of base formula. Base must be positive and ≠ 1.
Preguntas Frecuentes
What is a logarithm?
The exponent to which the base must be raised to produce the given value. log₂(8) = 3 because 2³ = 8.
What is the natural logarithm?
Logarithm with base e ≈ 2.71828. Written as ln(x).
Why can't the base be 1?
Because 1 raised to any power is always 1, making the logarithm undefined.