# Introduction to Logarithmic Functions

A Logarithmic function with base b, where b > 0 and b is not equal to 1, is the inverse of the corresponding exponential function. These functions are useful in the study of computer algorithms and natural growth/decay phenomena of living beings, among other applications.

**Learning Objectives:**

- Study and understand the basic logarithmic function
*\(f(x) = b^x\)*- Domain, Range, Intercepts, Asymptote and Graph

- Study and understand the basic logarithmic function \(a \cdot b^{mx + b} + d\) where
*\(b > 0, b\neq 1\)*- Domain, Range, Intercepts, Asymptote and Graph

- Learn and apply basic properties of logarithms
- \(b^a = c\) if and only if \(log_b(c) =a\)
*\(log_{b} b^x = x\)*for all x and \(b^{log_{b} x} = x \)*for x > 0*