Logarithmns

Multiple Choice

A biologist is modelling an infestation of fire ants. He determines that the area affected by the ants is given by A(n) = 2000 × e^(0.57n) hectares, where n is the number of weeks after the initial observation. Estimate the time taken for the infested area to reach 10,000 hectares.

• 2 weeks

• 5 weeks

• 10 weeks

• 15 weeks

Multiple Choice

What is the relationship between logarithmic functions and exponential functions?

• Logarithmic functions are the inverse of exponential functions

• Logarithmic functions are the same as exponential functions

• Logarithmic functions are unrelated to exponential functions

• Logarithmic functions are a type of polynomial function

Multiple Choice

f(x)=log₅(x+4) - 2

Find the Domain and Range

• Domain: x ≥ -2

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -2

• Domain: x > -4

  Range: all real numbers

Multiple Choice

What is the horizontal asymptote for the functions represented in the image?

• y = 0

• y = 1

• y = a

• y = -1

Multiple Choice

How has the graph transformed?

Red is parent graph

Blue is transformation

• left 1 up 6

• left 2 up 4

• left 2 up 6

• up 6

Multiple Choice

Ms. Jones isn't sure if she solved this logarithmic equation correctly. Check her work to determine if she made any mistakes. If she did make a mistake, determine what it was.

• She did not convert to exponential form correctly.

• She did not distribute the 4 when combining the logs.

• She should have subtracted 2 from both sides instead of adding 2.

• No mistakes were made!

Open Ended

$$M=\frac{2}{3}\log E-9.9$$  

Find the inverse of the given function. Describe what the inverse represents. (image from BigIdea Math)

Draw

Graph $$f\left(x\right)=\log_2\left(x+3\right)-1$$

Graph at least one reference point on your curve.

Categorize

Options (5)

$$2\log9=\log\left(2\cdot9\right)$$  

$$e^5\ln6=\ln\left(e^5\right)^6$$  

$$6\log2=\log64$$  

$$\log3-\log30=\log\left(\frac{1}{10}\right)$$  

$$\log5+\log8=\log13$$  

Can you prove the statement using properties of logarithms?

Yes

No

Poll

What did you dislike about this lesson?

• Do not like Quizizz

• Too long

• Too short

• I actually liked it

Open Ended

What is the relationship between logarithms and exponents?

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident