The mathematical relationship between an exponential form and a logarithmic form is:
A logarithm is the of an exponential function. In simple terms, it asks the question: "To what power must we raise a base to get a certain number?" For example, the logarithm base 10 of 1,000 is 3 , because 1. Fundamental Definition Logarithms and Logarithmic Functions
by=x⟺logb(x)=yb to the y-th power equals x ⟺ log base b of x equals y (Base) : Must be positive and not equal to 1. (Argument) : Must be positive ( (Argument) : Must be positive ( ) : Logarithm with base 10
) : Logarithm with base 10 . If no base is written, base 10 is usually implied. : Logarithm with base ≈2.718is approximately equal to 2.718 ). This is critical for modeling natural growth and decay. 4. Graphing Logarithmic Functions Solving Logarithmic Equations (5 Examples) This is critical for modeling natural growth and decay
According to the Math Centre , logarithms follow specific laws that mirror exponent rules: : Quotient Rule : Power Rule : Identity : Zero Rule : 3. Common vs. Natural Logarithms Common Logarithm (