# Exponential and Logarithmic Functions Solving Logarithm Properties Inverses

- Slides: 51

Exponential and Logarithmic Functions Solving Logarithm Properties Inverses Application Graphing 10 10 10 20 20 20 30 30 30 40 40 40 50 50 50

Solve, round to nearest hundredth Answer

Solve, round to nearest hundredth Answer

Solve, round to nearest hundredth Answer

Solve, round to nearest hundredth Answer

Solve, round to nearest hundredth Answer

Write in logarithm form Answer

Write in exponential form Answer

Evaluate each of the expressions Answer

Simplify to a single logarithm 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 No money is added or withdrawn form the account. 1.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? Answer

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 No money is added or withdrawn form the account. 1.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

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. 1. Write an equation to model this situation. 2. 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. 1. Write an equation to model this situation. 2. 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 = ae 0. 00012 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? Answer

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

$11, 851. 59

Graph and Identify the domain and range Answer

Graph and Identify the domain and range Answer

Graph and Identify the domain and range Answer

Graph and Identify the domain and range Answer

Graph and Identify the domain and range Answer

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