32 videos in "Logarithms and Exponentials"
-
Introduction to Logarithms
-
Logarithms
-
Logarithms - Change of Base Rule & Applications Part 1
-
Logarithms - Change of Base Rule & Applications Part 2
-
Logarithms featuring the TI-Nspire
-
Exponential Functions 1
-
Exponential Functions 2
-
Exponential Functions 3
-
Exponential Functions 4
-
Logarithms 1
-
Logarithms 2
-
Logarithms 3
-
Logarithms 4
-
Logarithms 5
-
Logarithms 6 - Quotient Property of Logs
-
Logarithms 7 - Power Property of Logs
-
Logarithms 8 - Properties of Logs
-
Logarithms 9 - Properties of Logs
-
Logarithms 10 - Properties of Logs
-
Logarithms 11 - Common and Natural Log
-
Logarithms 12 - Solve equations with log x and ln x
-
Logarithms 13 - Compound Interest
-
Logarithms 14 - Change of Base
-
Logarithms 15 - Solving Equations
-
Logarithms 10b
-
Logarithms 16 - Solving Equations
-
Logarithms 17 - Solving Equations
-
Log Application 1 - Compound Interest
-
Log Application 2 - Compound Interest
-
Using Logs to Expand an Expression
-
Using Logs to Condense an Expression
-
Using Logs to Expand an Expression
Logarithms 6 - Quotient Property of Logs
- Rules of Logarithms - List of rules of logarithms.
- What is the quotient property of logarithms?
- How do you write log base 3 of x/7 as a difference of logs?
- How do you write log base 2 of 10/11 as a difference of logs?
- How do you write log base x of 2/7 as a difference of logs?
- How do you write log base 2 of 5 - log base 2 of (x + 1) as a single log?
- How do you write log base 5 of x^2 - log base 5 of (x^2 - 1) as a single log?
- How do you write log base 2 of 8/x as a difference of logs and simplify?
- How do you write log base m of m^5/2 as a difference of logs and simplify?
- How do you simplify log base 2 of (32/8) using the quotient rule of logs?
- How do you derive the quotient property of logarithms?
- Why does the quotient property of logarithms work?
This lesson explains and derives the quotient property of logarithms and then does several example problems showing how to go from a single logarithm quotient to a difference of logarithms and also from a difference back to a single logarithm. The results are simplified where possible. All steps in this process are explained. Watching this video will not only show you how and why this property works, but it also gives you practical examples of problems using the rule.
