Log Calculator (Logarithm)
Calculate any of the three values in the logarithm equation logb(x) = y
Calculate any of the three values in the logarithm equation logb(x) = y.
Log Calculator (Logarithm)
Please provide any two values to calculate the third in the logarithm equation logbx = y. It can accept "e" as a base input for natural logarithms.
Logarithm Formula:
logb(x) = y
Where:
- b = base (must be positive and ≠ 1)
- x = number (must be positive)
- y = result (logarithm)
Natural Logarithm: loge(x) = ln(x)
Common Logarithm: log10(x)
Calculate Logarithm
log
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💡 Tip: Leave one field empty to calculate that value. Use "e" for natural logarithm.
About Logarithms
A logarithm is the inverse operation to exponentiation. It answers the question: "To what power must the base be raised to get the number?"
Common Logarithms:
- • Natural Log (ln): loge(x)
- • Common Log: log10(x)
- • Binary Log: log2(x)
- • Custom Base: logb(x)
Logarithm Properties:
- • logb(1) = 0
- • logb(b) = 1
- • logb(xy) = logb(x) + logb(y)
- • logb(x/y) = logb(x) - logb(y)
- • logb(xn) = n·logb(x)
Applications:
- • Scientific calculations
- • Sound intensity (decibels)
- • pH scale (acidity)
- • Richter scale (earthquakes)
- • Information theory
- • Algorithm complexity
Common Values:
• ln(e) = 1
• ln(1) = 0
• log10(10) = 1
• log10(100) = 2
• log2(2) = 1
• log2(8) = 3