Features
- •Calculate logarithms for any base (including e, 2, 10)
- •Explore product, quotient, power, and root properties
- •Change of base formula support
- •Tabs for different logarithm operations
- •Real-time result display
- •Input validation and error handling
About Logarithms
A logarithm is the power to which a number must be raised to get another number. For example, the logarithm of 100 to the base 10 is 2, because 10² = 100.
Key Logarithm Properties
- Product Rule: log₍ₐ₎(x×y) = log₍ₐ₎(x) + log₍ₐ₎(y)
- Quotient Rule: log₍ₐ₎(x÷y) = log₍ₐ₎(x) - log₍ₐ₎(y)
- Power Rule: log₍ₐ₎(xⁿ) = n × log₍ₐ₎(x)
- Change of Base: log₍ₐ₎(x) = log₍ᵦ₎(x) ÷ log₍ᵦ₎(a)
Logarithms are used in many fields including mathematics, science, engineering, and finance for tasks like solving exponential equations, analyzing growth and decay, and measuring quantities that vary over a large range.