1. SAS 1 Intro to Logs

Page 9- Introduction to Logarithms

Multiple Choice

Page 9 #1

Between which two weeks will the fire ants outgrow their container capacity of 500

• Between week 0 and 1

• Between week 1 and 2

• Between week 2 and 3

• Between week 3 and 4

• Between week 4 and 5

​Page 9 #1

​Page 9 #2

​Page 9 #3 & 4

​Divide both sides by 20

​Guess and Check

Desmos

One side 0 and type into Desmos to see where it crosses the x axis

To solve the above algebraically we need logarithims.

Labelling

Page 10

Name the base, the coefficient, and the exponent.

Drag labels to their correct position on the image

coefficient (multiplier)

base

exponent

​Convert logarithmic form to exponential form.

Page 10

Page 10 #1

Multiple Choice

Page 10 #2

Rewrite $$\log_6216=3$$

• $$3^6=216$$

• $$6^3=216$$

• $$216^3=6$$

• $$6^{216}=3$$

Multiple Choice

Page 10 #3

Rewrite $$\log_71=0$$

• $$7^1=0$$

• $$1^0=7$$

• $$7^0=1$$

• $$0^1=7$$

Multiple Choice

Page 10 #4

Rewrite $$\log_216=4$$

• $$16^2=4$$

• $$2^{16}=4$$

• $$4^{16}=2$$

• $$2^4=16$$

Math Response

Page 10 #4

Rewrite $$\log_4\ \frac{1}{16}=-2$$

Type answer here

Correct Answer: 4^{-2}=\frac{1}{16}

Deg^°

Rad

Math Response

Page 10 #4

Rewrite $$\log_9\ 27=\frac{3}{2}$$

Type answer here

Correct Answer: 9^{\frac{3}{2}}=27

Deg^°

Rad

​Convert exponential form to logarithmic form.

Page 11

Page 11 #1

Multiple Choice

Page 11 #8

Rewrite $$3^4=81$$

• $$\log_381=4$$

• $$\log_481=3$$

• $$\log_{81}3=4$$

Multiple Choice

Page 11 #9

Rewrite $$12^1=12$$

• $$\log_112=12$$

• $$\log_{12}12=1$$

• $$\log_{12}1=12$$

Multiple Choice

Page 11 #10

Rewrite $$36^{\frac{1}{2}}=6$$

• $$\log_636=\frac{1}{2}$$

• $$\log_{\frac{1}{2}}6=36$$

• $$\log_{36}6=\frac{1}{2}$$

Math Response

Page 10 #11

Rewrite $$2^{-3}=\frac{1}{8}$$

Type answer here

Correct Answer: \log_2\left(\frac{1}{8}\right)=-3

Deg^°

Rad

Math Response

Page 10 #12

Rewrite $$8^{\frac{4}{3}}=16$$

Type answer here

Correct Answer: \log_8\left(16\right)=\frac{4}{3}

Deg^°

Rad

Transformations of Logarithms

Page 11

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First Box

​Page 12 #2 First Box

​Finish Page 12