IB ASL Math Chapter #3-4 Exponents and Logarithms HMWK

Section 3A – C:  Index Notation and Negative Bases

 Exercise 3BC-type: 1-10 last columnA-type:  11Exercise 3CC-type: 1- 5 last column.A-type:  ToK page 103

Section 3D-E: Algebraic Expansion and Factorization

and Exponential Equations

 Exercise 3D.1C-type: 1 – 2 last columnA-type:  NA Exercise 3D.2C-type: 1 – 6 last columnA-type:  NA Exercise 3EC-type: 1- 4 last columnA-type:  5 last column

Section 3F-G: Exponential Functions (Growth and Decay)

 Exercise 3FC-type: Investigation  A-type: 6cd Next day:Exercise 3G.1C-type: 2A-type: 4 Exercise 3G.2C-type: 1, 2A-type: 5

Section 3H:  The Natural Exponential e

 Exercise 3HC-type: 1 – 11 (last column for problems with multiple questions)A-type:  13 - 14; Investigation 2 on page 116Recall that normal distribution curve is based upon e on page 119

Section 4A – 4B:  Logarithms (Intro and Base 10)

and Log Base a

 Exercise 4AC-type: last col of 1 – 2 and 6A-type: NA Exercise 4BC-type:  1-3 last column; 4 last two columnsA-type:  5- 6 last column and Read ToK Section on page 129 and answer the following problem:  Which is the largest of the following four numbers?log base 2 of 3log base 4 of 8log base 3 of 2log base 5 of 10

Section 4C.1: Laws of Logarithms

 Exercise 4C.1C-type: 1 – 5 last columnA-type: 6 – 7 last column + proof of three laws

Section 4C.2 –D.2:  Log Equations and Natural Logs

 Exercise 4C.2C-type:  1 – 2 last columnA-type:  4 last column No problems from 4D.1 Exercise 4D.2C-type:  1 – 5 last columnA-type: Given that a and b are positive and 4(log a)^2 + (log b)^2 = 1, what is the greatest possible value of a?

Section 4E-4F:  Solving Exponential Equation using Logarithms

and the Change of Base Rule

 Exercise 4EC-type:  1 – 2 last column; 3A type:  5 – 7 last column Exercise 4FC-type: 1 – 3 last problemA type:  4b; 5 - 7

Section 4G:  Graphs of Logarithms

 Exercise 4G:C-type:  1d; 2d; 3b; 4 A-type: 1f; 7c

Section 4H:  Logarithmic Growth and Decay

 Exercise 4H:C-type:  2; 6, 7A-type: 14