Home » Using the properties of exponents to prove the Power Property of Logarithms, unit 6 algebra homework help

Using the properties of exponents to prove the Power Property of Logarithms, unit 6 algebra homework help

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Unit 6: Exponential and Logarithmic Functions End Checkpoint Apply
– Unit 5: Rational Functions
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Unit 6: End Checkpoint Apply
Unit 6: Exponential and Logarithmic Functions End Checkpoint Apply
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Lesson 3-5
Algebra 2
Please complete the following questions. It is important that you show all work you did to solve
the problems when you submit your work. This includes any calculations, diagrams, or graphs
that helped you solve it.
1. REASONING Use the properties of exponents to prove the Power Property of Logarithms.
2. OPEN ENDED Give an example of a quantity that grows or decays at a fixed rate. Write a
real-world problem involving the rate and solve by using logarithms.
3. Writing in Math Use the information about banking on page 556 to explain how the natural base e is used in banking.
Include an explanation of how to calculate the value of an account whose interest is compounded continuously, and an
explanation of how to use natural logarithms to find the time at which the account will have a specified value in your
answer.
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CC – Algebra 2
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< Base e and Natural Logarithms in the table above, as increases the prescimen 111 + 1, "cor (1 + i spproaches the irrational mamber 71878... This number is relerred to as the natural base, You an write an equivalent baserponenti luga unic equation in VEDE Y IN Y An exponential function with base e is called a natural base exponential function. The graph of y-r' is shown at the right. Natural base exponential functions are wat extensively in since to model quantities that grow and decay coatinuously Most calculators have an e' fanction for evaluating natural base expressions EXAMPLE Write Equivalent Expressions Write an equivalent exponential or logarithmic equation. a = 5 b. In: 0.6931 - 5log 5Y In x 0.61131 - log ry 0.6931 Dit 5 = CHECK Your Progress JA.T- 38. In x l.2 Stay Tip Since the raluralhase function and the natural logarithmic functionare Invcrss, these two functions can be used to "undo' esch other. Simplifying Expressions withe You can sing restrig EXAMPLE Evaluate Natural Base Expressions O se a calculator to evaluate each expression to four decimal places. ar? KEYSTROKES: 2nd les 2 ENTER 7.38-058.99 73891 Inas For example, anda pe 13 - 4x + 3 ?: ܐܶܢ E Type here to search O x 11:57 AM 8/14/2017 719

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