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## Exponential and Logarithmic Functions

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**Write in logarithm form**Answer**Write in exponential form**Answer**Expand the expression**Answer**Find the inverse.**Answer**Find the inverse.**Answer**Find the inverse.**Answer**Find the inverse.**Answer**Find the inverse.**Answer**Suppose you deposit $1500 in a savings account that pays 6%.**No money is added or withdrawn form the account. Write an equation to model this situation. How much will the account be worth in 5 years? How many years until the account doubles? Answer**Suppose you deposit $1500 in a savings account that pays 6%.**No money is added or withdrawn form the account. Write an equation to model this situation. How much will the account be worth in 5 years? How many years until the account doubles? 12 years**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. 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. 8,100 bears**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. Write an equation to model this situation. How many years until the population goes below 4 million? 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. Write an equation to model this situation. How many years until the population goes below 4 million? 26 years**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 = ae0.00012t, 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? Answer**A new truck that sells for $29,000 depreciates 12% each**year. What is the value of the truck after 7 years? Answer**Domain: All real numbers**Range:**Domain: All real numbers**Range:**Domain:**Range: All real numbers**Domain:**Range: All real numbers