Exponential Equations

How are you today??? (from 1-5)

• 1

• 2

• 3

• 4

• 5

Solve for x:

(-3)^x = (-3)¹³

(a)  

Answer explanation

Bases are the same, therefore x=13

Favorite Christmas song!!!

Solve for x:

5^2x = 5^-x

• 0

• -6

• 8

• 1

Answer explanation

Bases are the same, therefore

2x= -x

When are final exams?

• Dec. 15

• Dec. 16

• Dec.17

• Monday!!!

2^3x+3 = 8⁶

• x=3

• x=5

• x=1

• x=12

Answer explanation

$8=2^3\rightarrow\ \ \ \ \ \ \ \ \ \ \ \ 2^{\left(3x+3\right)}=\left(2^3\right)^6$
$2^{\left(3x+3\right)}=2^{18}$

$\therefore\ 3x+3=18$

Tags

CCSS.7.EE.B.4A

Can you take the final exam at any time of the day?

• Yes

• No, it has to be during the 7AM-2PM window.

Sovle for x:

6^{-3x - 1} = 36

• x = -1

• x = -4

• x = -3

• x = 1

Answer explanation

$36=6^2$ $\rightarrow\ \ \ \ \ 6^{\left(-3x-1\right)}=6^2$

$\therefore\ \ \ \ -3x-1=2$

Tags

CCSS.7.EE.B.4A

Does the final exam have a time limit?

• Yes, 55 minutes.

• No

How do I know if I am exempt from the final exam?

• Log in on the day of the exam to find out.

• Wing it, and assume you are.