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Goal: Let's solve these things. Section 4.5: Exponential and Logarithmic Equations Monday, March 03, 2014 2:44 PM Section 4.5 Exponential and Logarithmic Equations Page 1

Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

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Page 1: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Goal: Let's solve these things.

Section 4.5: Exponential and Logarithmic EquationsMonday, March 03, 20142:44 PM

Section 4.5 Exponential and Logarithmic Equations Page 1

Page 2: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 2

Page 3: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 3

Page 4: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 4

Page 5: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 5

Page 6: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 6

Page 7: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 7

Page 8: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

annuallya)dailyb)hourlyc)continuouslyd)

Ex. If $12,500 is invested at an annual interest rate of 8% for 10 years, find the balance if the interest is compounded.

n (1+1/n)^n

1 2

10 2.593742

100 2.704814

1000 2.716924

10000 2.718146

100000 2.718268

1000000 2.71828

Section 4.5 Exponential and Logarithmic Equations Page 8

Page 9: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Ex. How long will it take $25,000 to double if it is invested in a savings account that pays 5.88% annual interest compounded continuously? Round to the nearest tenth of a year.

Section 4.5 Exponential and Logarithmic Equations Page 9

Page 10: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Ex. A city had a population 53,700 in 2002 and population 58,100 in 2006.

Find the exponential growth function for the city using year 2002 as year t = 0.a)Use the growth function to predict the population of the city in 2014. Round to the nearest hundred.

b)

Section 4.5 Exponential and Logarithmic Equations Page 10

Page 11: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 11

Page 12: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Ex. Estimate the age of a bone if it now contains 65% of its original amount of carbon-14. Round to the nearest 100 years.

Aufmann, College Algebra, 8ehttp://www.webassign.net/ebooks/aufcolalg8/shell.html?s=ec03af57cb303b0345d8cacec0d8fca1&c=249283&f=4721409&type=youbook&id=462Screen clipping taken: 3/5/2014 4:52 PM

Section 4.5 Exponential and Logarithmic Equations Page 12

Page 13: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 13

Page 14: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Aufmann, College Algebra, 8ehttp://www.webassign.net/ebooks/aufcolalg8/shell.html?s=ec03af57cb303b0345d8cacec0d8fca1&c=249283&f=4721409&type=youbook&id=462Screen clipping taken: 3/5/2014 5:23 PM

Aufmann, College Algebra, 8ehttp://www.webassign.net/ebooks/aufcolalg8/shell.html?s=ec03af57cb303b0345d8cacec0d8fca1&c=249283&f=4721409&type=youbook&id=462Screen clipping taken: 3/5/2014 5:26 PM

Section 4.5 Exponential and Logarithmic Equations Page 14

Page 15: Section 4.5: Exponential and Logarithmic Equations 110 pages/lectures Fall... · Section 4.5 Exponential and Logarithmic Equations Page 9 Ex. A city had a population 53,700 in 2002

Section 4.5 Exponential and Logarithmic Equations Page 15