Log Calculator
Calculate log instantly in your browser.
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What this tool does
Calculate log instantly in your browser. Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
How to use the Log Calculator
- Enter or select value x.
- Enter or select base.
- Read the calculated result; change any measurement to compare alternatives.
Formula
log_b(x) = ln(x)/ln(b) — the exponent the base must be raised to in order to give x.
- x
- Value x
- base
- Base
Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
Worked example
For log calculator, the following measurements illustrate the exact method: Value x: 8; Base: 2.
Inputs
- Value x8
- Base2
Result
- log base 23
- Natural log ln(x)2.08
- log₁₀(x)0.9
- log₂(x)3
- Check (base ^ result)8
Results explained
- log base 2
- log base 2 from the formula above. Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
- Natural log ln(x)
- Natural log ln(x) from the formula above. Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
- log₁₀(x)
- log₁₀(x) from the formula above. Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
- log₂(x)
- log₂(x) from the formula above. Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
- Check (base ^ result)
- Check (base ^ result) from the formula above. Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
Frequently asked questions
log_b(x) = ln(x)/ln(b) — the exponent the base must be raised to in order to give x.
Logarithms are the inverse of exponents: log₂(8) = 3 because 2³ = 8.
Where mathematically meaningful, yes. Fields specify permitted ranges and undefined operations display an error.
Exact integer calculations use safe integers; decimal calculations use browser floating point, so small rounding differences can occur.
All values remain in your browser and are never uploaded.