Exponential Functions and Logarithms II

Question 1

Give 4 properties of logarithms:

Answer 1

Question 2

Expand:

Answer 2

Question 3

Simplify/Condense:

Answer 3

Question 4

Simplify:

Answer 4

Question 5

Simplify:

Answer 5

Question 6

What is a logarithmic equation?

Answer 6

An equation with both logarithms and variables

Question 7

What are the 5 steps to solve logarithmic equations?

Answer 7

Question 8

Solve this logarithmic equation using the five steps:

Answer 8

3 is the only solution

Question 9

Solve this logarithmic equation using the five steps:

Answer 9

Question 10

Solve this logarithmic equation using the five steps:

Answer 10

Question 11

Answer 11

Question 12

What is an exponential equation?

Answer 12

An equation with both exponents and variables

Question 13

How do you solve exponential equations?

Answer 13

Question 14

Answer 14

Question 15

Answer 15

Question 16

Answer 16

x needs to be positive because of √x.
Both x’s are positive so they are both solutions

Question 17

Solve using redefinition:

Answer 17

x = 2 and x = ln(3) / ln(2)

Question 18

What is the model for exponential growth and decay?

Answer 18

Question 19

Answer 19

Question 20

Predict Canada’s population for the year 2040.

Answer 20

Question 21

When will Canada’s population reach 50 million?

Answer 21