Intro to Logarithms

Warm – Up!!O Good Morning!! As you walk in, please pick up your

calculator and guided notes. Then, begin working on

your warm-up!

A country’s population is 3 million and increases by 5% every year.

That same country’s food supply is capable of feeding 6 million and

increases by 200,000 every year.

Q1: Write a function that models the population.

Q2: Write a function that models the food supply.

Q3: Will the country always produce enough food to feed all of its

population? Explain.

Q4: Find how many years it takes for the population to begin to

exceed the amount of food available.

What are Logarithms?!?!

O https://www.youtube.com/watch?v=zzu2PO

fYv0Y

Example Writing in Logarithmic Form

O Change the following from exponential form to logarithmic form.

1a) 16=42

1b) 243=35

1c) (1/2)4=1/16

You Try!!

O Change the following from exponential form to logarithmic form.

2a) 61.8=k

2b) a7=34

2c) 81.7=l

Evaluating Logarithms

Discussion Questions

Example Writing Properties and Combining as a Single Logarithm

Example Writing Properties and Expanding Logarithms

Exit Ticket

1. What is an exponential function?

2. Evaluate log4 64.

3. Solve the following exponential

equations:

A. 53𝑥 = 125

B. 42𝑥+1 = 4𝑥+3

Homework!