Math
Logarithmic properties.
Definition
The fundamental rules governing logarithmic expressions, including the product, quotient, and power rules, as well as the change of base formula. These properties are essential for solving logarithmic and exponential equations.
Examples
Real-world.
- 1 Using the power rule to bring down an exponent: ln(e³) = 3
- 2 Condensing log 5 + log 4 into log 20
- 3 Applying change of base: log₃(7) = ln 7 / ln 3
Key Fact
Change of base: logₐ(b) = log(b)/log(a) = ln(b)/ln(a)