Log Calculator
Calculate logarithms of any base — log₁₀, ln (natural log), log₂, and custom bases. Also compute antilog. Free and instant.
Log Calculator
toolznova.com • Free Calculator
How to Use
Calculate logarithms in 3 steps.
Choose Log Type
Select log₁₀, natural log, log₂, or custom base.
Enter Number
Enter the number to take the logarithm of.
Get Result
Click Calculate for the result with 8 decimal precision.
Why ToolzNova?
Instant
Results in milliseconds.
Accurate
Precise formulas every time.
Private
No data sent anywhere.
Everywhere
Mobile, tablet, desktop.
Why Calculate Logarithms?
- Science: pH, Richter scale, sound decibels all use logarithms.
- Finance: Continuously compounded interest uses natural log.
- Computing: Algorithm complexity O(log n) uses log base 2.
- Engineering: Signal gain and attenuation in decibels.
- Statistics: Log transformation normalizes skewed distributions.
- Mathematics: Solving exponential equations.
Tips & Examples
- log₁₀(100) = 2 because 10² = 100.
- ln(e) = 1 where e ≈ 2.71828.
- log₂(8) = 3 because 2³ = 8.
- Change of base: log_b(x) = ln(x)/ln(b).
- Antilog is inverse of log: if log(x)=2, antilog(2)=100.
- log(a×b) = log(a) + log(b).
Free Log Calculator Online
ToolzNova's free log calculator computes log base 10, natural log (ln), log base 2, any custom base, and antilog. Essential for science, engineering, finance, and computer science.
Logarithm is the inverse of exponentiation. If 10²=100 then log₁₀(100)=2. Used everywhere from measuring earthquakes (Richter scale) to computer algorithm analysis.
Logarithm Formulas
log_b(x) = y means bʸ = x. Change of base: log_b(x) = ln(x)/ln(b). Product rule: log(ab) = log(a)+log(b). Power rule: log(xⁿ) = n×log(x). Antilog: 10^log(x) = x.