5.2 | Solving with Exponents

5.2 | Solving with Exponents

EQ: How can I solve a problem involving exponents?

Grab your notebook if you'd like to jot down these extra examples (or take screenshots)

Poll

How did you feel about this topic?

• Feel great! I could help someone!

• I'm alright, but could I see more examples?

• I'm stuck and need more examples.

Multiple Select

Which of the following would have a solution of x=4?

Select ALL that apply.

•  $2^x=16$  

•  $\left(\frac{1}{2}\right)^{-x}=16$  

•  $3^x=12$  

•  $4^x=16$  

REMINDER

Are the bases the same?

Multiple Choice

Solve the following using your laws of exponents.

 $3^{2x-1}=27$  

• Not here

•  $x=\frac{3}{2}$  

•  $x=1$  

•  $x=2$  

Multiple Choice

Solve the following now!

 $\left(\frac{1}{4}\right)^{x-2}=64$  

•  $x=6$  

•  $x=5$  

•  $x=-2$  

•  $x=-1$  

Multiple Choice

Solve the following!

 $2\left(3\right)^{x+1}=36$  

•  $x=1$  

•  $x=5$  

•  $x=2$  

• Not here

Open Ended

We tried the solve this problem. Explain WHY this cannot be solved using the methods we've seen so far.

You may begin your Practice!

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