Mathematical Formula & Method
Logarithm Calculator Formula
log_b(x) = y ⟺ bʸ = x | Change of base: log_b(x) = ln(x) / ln(b)
Worked Examples & Step-by-Step Solutions
log₁₀(1000)
- 10³ = 1000, therefore log₁₀(1000) = 3.
How to Use the Logarithm Calculator
- Enter positive value x and base b, then click Calculate.
Important Assumptions & Unit Conventions
- x must be strictly positive (x > 0); base b must be positive and b ≠ 1.
Frequently Asked Questions
What is natural log ln?
Natural logarithm ln is a logarithm with base equal to Euler's constant e ≈ 2.71828.
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