Log Calculator (Logarithm)
Calculate any of the three values in the logarithm equation logb(x) = y
Calculate any value in the logarithm equation logb(x) = y.
About Logarithms
A logarithm is the inverse operation to exponentiation. It answers: "To what power must the base be raised to get the number?"
Logarithm Formula:
logb(x) = y means by = x
- b = base (positive, ≠ 1)
- x = number (positive)
- y = result
Common Logs:
- • ln(x) = loge(x)
- • log(x) = log10(x)
- • lb(x) = log2(x)
Properties:
- • logb(1) = 0
- • logb(b) = 1
- • logb(xy) = logb(x) + logb(y)
Applications:
- • Sound (decibels)
- • pH scale
- • Richter scale
- • Algorithm complexity
Common Values:
- • ln(e) = 1
- • log10(100) = 2
- • log2(8) = 3
Calculate Logarithm
=
logb(x) = y