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

Section 3A – C:  Index Notation and Negative Bases

Exercise 3B

C-type: 1-10 last column

A-type:  11

Exercise 3C

C-type: 1- 5 last column.

A-type:  ToK page 103

Section 3D-E: Algebraic Expansion and Factorization

and Exponential Equations

Exercise 3D.1

C-type: 1 – 2 last column

A-type:  NA

 

Exercise 3D.2

C-type: 1 – 6 last column

A-type:  NA

 

Exercise 3E

C-type: 1- 4 last column

A-type:  5 last column

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

Exercise 3F

C-type: Investigation  

A-type: 6cd

 

Next day:

Exercise 3G.1

C-type: 2

A-type: 4

 

Exercise 3G.2

C-type: 1, 2

A-type: 5

Section 3H:  The Natural Exponential e

Exercise 3H

C-type: 1 – 11 (last column for problems with multiple questions)

A-type:  13 - 14; Investigation 2 on page 116

Recall that normal distribution curve is based upon e on page 119

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

and Log Base a

Exercise 4A

C-type: last col of 1 – 2 and 6

A-type: NA

 

Exercise 4B

C-type:  1-3 last column; 4 last two columns

A-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?

  1. log base 2 of 3
  2. log base 4 of 8
  3. log base 3 of 2
  4. log base 5 of 10

 Section 4C.1: Laws of Logarithms  

Exercise 4C.1

C-type: 1 – 5 last column

A-type: 6 – 7 last column + proof of three laws

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

Exercise 4C.2

C-type:  1 – 2 last column

A-type:  4 last column

 

No problems from 4D.1

 

Exercise 4D.2

C-type:  1 – 5 last column

A-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 4E

C-type:  1 – 2 last column; 3

A type:  5 – 7 last column

 

Exercise 4F

C-type: 1 – 3 last problem

A 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, 7

A-type: 14