Log Calculator
log_b(v) = x where b^x = v2³=8, so log₂(8)=3
Free online tool
Log Calculator
Enter a value and a base to find the logarithm.
Instant calculation
Log Calculator
Enter a value and a base to find the logarithm.
Your result
Calculation
Your numbers stay in this browser. Nothing is uploaded or saved.
Three clear steps
How to use this calculator
- 01
Enter value
Type the number you want the logarithm of.
- 02
Enter base
Type the logarithm base (e.g., 10 for common log, e for natural log).
- 03
See result
Calculate to see the logarithm value.
The formula
How this calculation works
The logarithm is the power to which the base must be raised to produce the value.
Check the method
Worked examples
Each example follows the same formula used by the calculator.
What is log₂(8)?
2³=8, so log₂(8)=33Common questions
Questions about this calculation
What is the Log Calculator?
The Log Calculator helps you calculate the logarithm of a number with any base. Enter your values and select Calculate to get an instant result.
How is the result calculated?
The logarithm is the power to which the base must be raised to produce the value.
Can you show an example?
Example: What is log₂(8)? — 3.
Is my data saved when I use the Log Calculator?
No. All calculations run locally in your browser. Your inputs and results are never uploaded, stored or shared with anyone.
Is the Log Calculator free to use?
Yes. The Log Calculator is completely free. No account, sign-up or payment is required. It works on mobile, tablet and desktop.
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