32 videos in "Logarithms and Exponentials"
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Introduction to Logarithms
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Logarithms
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Logarithms - Change of Base Rule & Applications Part 1
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Logarithms - Change of Base Rule & Applications Part 2
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Logarithms featuring the TI-Nspire
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Exponential Functions 1
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Exponential Functions 2
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Exponential Functions 3
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Exponential Functions 4
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Logarithms 1
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Logarithms 2
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Logarithms 3
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Logarithms 4
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Logarithms 5
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Logarithms 6 - Quotient Property of Logs
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Logarithms 7 - Power Property of Logs
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Logarithms 8 - Properties of Logs
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Logarithms 9 - Properties of Logs
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Logarithms 10 - Properties of Logs
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Logarithms 11 - Common and Natural Log
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Logarithms 12 - Solve equations with log x and ln x
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Logarithms 13 - Compound Interest
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Logarithms 14 - Change of Base
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Logarithms 15 - Solving Equations
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Logarithms 10b
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Logarithms 16 - Solving Equations
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Logarithms 17 - Solving Equations
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Log Application 1 - Compound Interest
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Log Application 2 - Compound Interest
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Using Logs to Expand an Expression
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Using Logs to Condense an Expression
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Using Logs to Expand an Expression
Logarithms 14 - Change of Base
- Rules of Logarithms - List of rules of logarithms.
- What is the change of base formula for logarithms?
- How can you use the change of base formula for logarithms?
- How do you derive the change of base formula for logs?
- Why does the change of base formula for logarithms work?
- How can you evaluate log base 2 of 11 using the change of base formula and a calculator?
- How can you evaluate log base 3 of 20 using the change of base formula and a calculator?
- How can you evaluate log base 1/2 of 18 using the change of base formula and a calculator?
- How can you evaluate log base 4 of 5/6 using the change of base formula and a calculator?
- How can you check your answer to a change of base logarithm problem?
This lesson explains the very important change of base formula for logarithms. It is derived and explained, and then it is used to simplify / evaluate several example problems. Because calculators can only compute logarithms for base 10 or base e, the change of base formula is very useful for computing logarithms for other bases. All steps are shown and explained along with a way of checking your solution.
