intro to logarithms - cabarrus county schools...definition and evaluation of logarithm exponential...
TRANSCRIPT
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!