Introduction: The properties of exponential functions (See Properties exponential functions) correspond to 'mirrored' properties of logarithmic functions.
Theorem: Properties of logarithmic functions: (For ease of notation we have omitted the base.)
- $\log (x\cdot y)=\log x+\log y$
- $\log {\displaystyle\frac{x}{y}}=\log x-\log y$
- $\log x^y=y\log x$
- $\log 1=0$