Exponential & Log Functions

Exercise 8.1

Exponentials & Logs (0:00)

Problem 1: Evaluating exponential functions (6:32)

Problem 2: Using Index Laws to simplify expressions (7:40)

Problem 3: Supplying complex expressions (12:26)

Directly download PDF copy of Worked Solutions

Exercise 8.3

Exponential Growth & Decay (0:00)

Problem 1: Bacteria Colony (2:33)

Problem 2: Air left in a leaking spaceship (3:45)

Problem 3: Temperature of a cup of coffee (5:39)

Problem 4: Decay of a radioactive element - by hand (9:02)

Problem 4: Decay of a radioactive element - using CAS (16:50)

Directly download PDF copy of Worked Solutions

Exercise 8.4

Logarithms (0:00)

Problems 1&2: Expressing in Log & Index forms (3:48)

Problem 3: Evaluating logs (5:17)

Using CAS (10:55)

Directly download PDF copy of Worked Solutions

Exercise 8.5

Log Laws (0:00)

Problems 1&2: Expressing in Log & Index forms (5:19)

Problem 3: Simplifying with Log Laws (5:52)

Problem 3f: Using CAS (12:13)

Directly download PDF copy of Worked Solutions

Exercise 8.6

The Log Function (0:00)

Problem 1: Transformations and Sketching of a Log function (8:05)

Problem 2: Domain, Range and Sketching of a Log function (12:50)

Log and Exponentials are inversely related (16:11)

Problem 3: The Richter Scale (18:24)

Problem 4: Frogs at Lake Gutheridge (20:45)

Directly download PDF copy of Worked Solutions

Exercise 10.3

Problem 1: Using Log Laws to solve for x (0:00)

Problem 2: Solving Logs with base e - Euler's number (6:25)

Problem 2: Solving for x using CAS involving base e (8:31)

Problem 3: Subbing u to create a quadratic - by hand (11:02)

Directly download PDF copy of Worked Solutions