exponential equations

exponential equations

Multiple Choice

8^x+3 = 8⁵

• 2

• 4

• 6

• 8

Multiple Choice

4^{2x - 9} = 4³

• 2

• 4

• 6

• 12

Open Ended

When the bases are multiplied....what do you do to the exponents?

Multiple Choice

c = ?

• - 3

• - 1

• - 5

• 13/3

Multiple Choice

MORE PRACTICE:    Which of the following correctly simplifies the left hand side of the equation?   $\frac{5^{2x}}{5^3}=5^{11}$  

•  $5^{2x-3}\ =\ 5^{11}$  

•  $5^{6x\ }=5^{11}$  

•  $5^{-1x\ }=\ 5^{11}$  

Open Ended

Finish solving:  $5^{2x-3}=5^{11}$  

Multiple Choice

343 =

• $7\times3$

• $7^3$

Multiple Choice

 $\frac{1}{49}=$  

•  $7^2$  

•  $7^{-2}$  

• 7   x    -2

Open Ended

 $7^{3\left(2n-4\right)}=7^{-2\left(n+4\right)}$ 

n = ... 

To recap...

how to solve exponential equations

1 - Find a common base

2 - Simplify each side of the equation (Make sure that there is only one base on each side of the equation)

3 - Set the exponents equal to each other

4 - Solve!

Open Ended

Is there any particular step that is confusing you or anything that you would like to ask about?

Give these problems a try!

Multiple Choice

Solve for a:

5^{a + 2} = 1/125

• -1

• -6/7

• -5

• 4

Multiple Choice

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Multiple Choice

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Multiple Choice

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Multiple Choice

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Go to Khan Academy and do the 4 practice problems.

Solve Exponential equations using exponential properties

The End

Great Job!