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 9 - Properties of Logs
- Rules of Logarithms - List of rules of logarithms.
- How can you use the properties of logs to simplify expressions?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 12?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of (square root of 5)/9?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of .4?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 15b^4?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 2.5?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of cube root of 2.5?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 25?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of (b^2)/8?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of cube root of 25?
- If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of .08?
This lesson goes through a bunch more practice problems to illustrate how the properties of logarithms can be used to simplify and rewrite expressions. All steps and work involved in simplifying these expressions are explained and shown. This will especially help solidify the product and quotient rules for you. Substitution is used in these problems and some of the methods used to simplify are a little tricky.
