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Exponential and Logarithmic Functions Solving Logarithm Properties InversesApplicationGraphing 10 20 30 40 50.

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Presentation on theme: "Exponential and Logarithmic Functions Solving Logarithm Properties InversesApplicationGraphing 10 20 30 40 50."— Presentation transcript:

1 Exponential and Logarithmic Functions Solving Logarithm Properties InversesApplicationGraphing

2 Solve, round to nearest hundredth Answer

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4 Solve, round to nearest hundredth Answer

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6 Solve, round to nearest hundredth Answer

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8 Solve, round to nearest hundredth Answer

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10 Solve, round to nearest hundredth Answer

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12 Write in logarithm form Answer

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14 Write in exponential form Answer

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16 Evaluate each of the expressions Answer

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18 Simplify to a single logarithm Answer

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20 Expand the expression Answer

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22 Find the inverse. Answer

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24 Find the inverse. Answer

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26 Find the inverse. Answer

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28 Find the inverse. Answer

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30 Find the inverse. Answer

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32 Suppose you deposit $1500 in a savings account that pays 6%. No money is added or withdrawn form the account. 1.Write an equation to model this situation. 2.How much will the account be worth in 5 years? 3.How many years until the account doubles?

33 Suppose you deposit $1500 in a savings account that pays 6%. No money is added or withdrawn form the account. 1.Write an equation to model this situation. 2.How much will the account be worth in 5 years? 3.How many years until the account doubles? 12 years

34 Answer In 2009, there were 1570 bears in a wildlife refuge. In 2010 approximately 1884 bears. If this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018? Write an exponential function to model the situation, then solve.

35 In 2009, there were 1570 bears in a wildlife refuge. In 2010 approximately 1884 bears. If this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018? Write an exponential function to model the situation, then solve. 8,100 bears

36 Answer Suppose the population of a country is currently 7.3 million people. Studies show this country’s population is declining at a rate of 2.3% each year. 1.Write an equation to model this situation. 2.How many years until the population goes below 4 million?

37 Suppose the population of a country is currently 7.3 million people. Studies show this country’s population is declining at a rate of 2.3% each year. 1.Write an equation to model this situation. 2.How many years until the population goes below 4 million? 26 years

38 Answer By measuring the amount of carbon-14 in an object, a paleontologist can determine its approximate age. The amount of carbon-14 in an object is given by y = ae  t, where a is the amount of carbon-14 originally in the object, and t is the age of the object in years. A fossil of a bone contains 32% of its original carbon-14. What is the approximate age of the bone?

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40 Answer A new truck that sells for $29,000 depreciates 12% each year. What is the value of the truck after 7 years?

41 $11,851.59

42 Graph and Identify the domain and range Answer

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44 Graph and Identify the domain and range Answer

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46 Graph and Identify the domain and range Answer

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48 Graph and Identify the domain and range Answer

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50 Graph and Identify the domain and range Answer

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