Log Calculator
Calculate logarithms with any base
log10(100) = ?
Result
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Log Calculator – Information Guide
What is a Logarithm?
A logarithm (log) tells you **how many times a base must be multiplied** to reach a number.
logb(x) = y → bʸ = x
Here:
• b = base (must be positive, b ≠ 1)
• x = value (must be positive)
• y = logarithm result
Common Types of Logarithms
- log₁₀(x) → Common Log
- ln(x) → Natural Log (base e)
- log₂(x) → Binary Log
Logarithm Formula (Change of Base)
To calculate logarithms of any base, use the change of base formula:
logb(x) = ln(x) / ln(b)
This formula is used in most calculators and computers.
Where Logarithms Are Used?
- Mathematics & Algebra
- Computer Science (Binary logs, complexity)
- Physics & Natural Sciences
- Engineering calculations
- Earthquake magnitude (Richter scale)
- Sound intensity (Decibels)
- Growth & decay models
Example Calculations
Example 1:
log₁₀(100)
100 = 10² → Answer = 2
Example 2:
log₂(8)
8 = 2³ → Answer = 3
Example 3:
ln(e³)
ln(e³) = 3
Why Use This Log Calculator?
- Supports any base (2, 10, e, decimal, fractional, custom)
- Accurate scientific log calculation
- Shows natural log, common log, and binary log instantly
- Displays step-by-step calculation for learning
- SEO-optimized and student-friendly interface
- Perfect for exams, coding, engineering, and research
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Log Calculator Online | Solvezi