Logs to Exponents Practice/Expand Condense Practice

Logs to Exponents Practice

Open Ended

Welcome to Math!

We are finished with April: Many of you wrote goals about what you wanted to accomplish in April. Respond to the following: First what did you want to accomplish in April? How did it go? What is your new goal for May- what will you do to accomplish that?

Multiple Select

Warm Up: Which of the following is correct? (there are two)

• $\frac{1}{x^{-2}}=x^2$

• $\frac{x^3}{x^4}=x$

• $\frac{x^5}{x^3}=x^2$

• $2x^2\cdot3x^4=6x^8$

Fill in the Blanks

 $4^3=64$  We are going to work on switching forms!

Lets label these parts:

Label the B, Y, X

What is the X?

Multiple Choice

 $4^3=64$  Lets check it out: Moving from exponential form to logarithmic

•  $\log_34=64$  

•  $\log_464=3$  

•  $\log_43=64$  

•  $\log_{64}3=4$  

Fill in the Blanks

 $5^2=25$  Next Example- in this exponential label the B value

Multiple Choice

 $5^2=25$  Change Forms!

•  $\log_{25}2=5$  

•  $\log_225=5$  

•  $\log_52=25$  

•  $\log_525=2$  

Fill in the Blanks

 $\log_381=4$  Switch Forms!
What is the Y value

Multiple Choice

 $\log_381=4$  Switch Forms!

•  $4^3=81$  

•  $3^{81}=4$  

•  $3^4=81$  

•  $81^3=4$  

Poll

How do we feel about changing forms

• 4- SUPER CONFIDENT I could take a test and ACE it tomorrow

• 3- Feeling good- better than I started class

• 2-Uneasy- I get it sometimes but not feeling super great

• 1- Ms. Bowen this is nonsense

Expanding and Condensing

Lets practice using all of our properties

Multiple Choice

 $\log_x\left(x\sqrt{7}\right)$  
What are we doing?

• Expanding

• Condensing

Multiple Select

 $\log_x\left(x\sqrt{7}\right)$  

Which Properties apply? There are two. 

• Product Property

• Quotient Property

• Power Property

Poll

 $\log_x\left(x\sqrt{7}\right)$  

Take a moment to try and expand this on your own. You will have three minutes. Then we will do it together. Mark if you totally got it correct, missed a little thing, or had NO CLUE (there is no judgement)

• Totally Correct!

• I made a little error but was almost there

• I had like 50% of a clue of what to do 

• No clue Ms. Bowen (shoulder shrug emoji)

Multiple Choice

 $\log_b\left(\frac{ab^5}{c^2d}\right)$  

What are we doing

• Expanding 

• Condensing 

Multiple Select

 $\log_b\left(\frac{ab^5}{c^2d}\right)$  

Which properties are we going to use

• Product Property

• Quotient Property

• Power Property 

Poll

 $\log_b\left(\frac{ab^5}{c^2d}\right)$   

Take a moment to try and expand this on your own. You will have three minutes. Then we will do it together. Mark if you totally got it correct, missed a little thing, or had NO CLUE (there is no judgement)

• Totally Correct!

• I made a little error but was almost there

• I had like 50% of a clue of what to do 

• No clue Ms. Bowen (shoulder shrug emoji)

Multiple Choice

 $\log x+5\log y$  

What are we doing

• Expanding 

• Condensing 

Multiple Select

 $\log x+5\log y$  

Which properties are we going to use

• Product Property

• Quotient Property

• Power Property 

Poll

 $\log x+5\log y$   

Take a moment to try and condense this on your own. You will have three minutes. Then we will do it together. Mark if you totally got it correct, missed a little thing, or had NO CLUE (there is no judgement)

• Totally Correct!

• I made a little error but was almost there

• I had like 50% of a clue of what to do 

• No clue Ms. Bowen (shoulder shrug emoji)

Multiple Choice

 $\frac{1}{2}\ln e-\frac{1}{2}\ln x$  

What are we doing

• Expanding 

• Condensing 

Multiple Select

 $\frac{1}{2}\ln e-\frac{1}{2}\ln x$  

Which properties are we going to use

• Product Property

• Quotient Property

• Power Property 

Poll

 $\frac{1}{2}\ln e-\frac{1}{2}\ln x$   

Take a moment to try and condense this on your own. You will have three minutes. Then we will do it together. Mark if you totally got it correct, missed a little thing, or had NO CLUE (there is no judgement)

• Totally Correct!

• I made a little error but was almost there

• I had like 50% of a clue of what to do 

• No clue Ms. Bowen (shoulder shrug emoji)

Poll

How do we feel about these properties?

• 4- SUPER CONFIDENT I could take a test and ACE it tomorrow

• 3- Feeling good- better than I started class

• 2-Uneasy- I get it sometimes but not feeling super great

• 1- Ms. Bowen this is nonsense

Open Ended

WRAP UP: Name one teacher that you are glad is in your life/has been in your life