Showing posts with label base. Show all posts
Showing posts with label base. Show all posts

Change of Base Formula

The change of base formula is very important because most calculators do not have a log to any base button.

YouTube Playlist: Logarithms and their Graphs

This formula allows us to calculate any logarithm given only two bases on our calculator.
Apply the change of base formula as follows.
We could choose any base. However, it is wise to choose base e or 10 because there is a button for them on most calculators.

Evaluate using a calculator and round off to the nearest thousandth.

YouTube Video:

Logarithms, Exponentials, and Equations

Notes and video examples covering the following topics:

Function Composition:
Inverse Functions:
Exponential Functions and Their Graphs
The Natural Exponential Function
Logarithmic Functions
Graphing Logarithmic Functions

Change of Base Formula
Properties of the Logarithm
Solving Exponential Equations
Solving Logarithmic Equations
Compound Interest Problems

Exponential Growth and Decay