Relation logarithmic and exponential functions | Wiskunde op Tilburg University

Introduction 1: A function of the form

$y(x)=a^x$ , where

$a$ (

$a \neq 1)$ is a positive number, is called an exponential function with base

$a$ .

Introduction 2: A function of the form

$y(x)=\;^a\!\log x, (x>0)$ , where

$a$ (

$a\neq 1$ ) is a positive number is called a logarithmic function with base

$a$ .

Theorem:

Remark: Have a quick look at the notion Inverse function in Chapter 2.