Embedded Files
Standards Assessed:
Standards Assessed:
PC.F-BF.B.5: Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
PC.F-IF.C.8b: Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^(12t), y = (1.2)^(t/10), and classify them as representing exponential growth or decay.
Learning Targets:
Learning Targets:
Solve exponential equations by taking the logarithm of both sides.
Use properties of exponents and logarithms to solve logarithmic equations.
Essential Questions:
Essential Questions:
How can we manipulate logarithms and exponentials to make sense of equations and problems?
Vocabulary:
Vocabulary:
Change of Base Formula
Power Property of Logarithms
Product and Quotient Properties of Logarithms
Addition and Subtraction Properties of Logarithms
Warm Up
Warm Up
Solve each of the following equations.
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