Solving Exponential Equations

To solve an exponential equation, the _______ must be the same!

Rewrite 1000 as a power of 10:

• $10^3$

• $10^2$

• $10^{10}$

• 10

Rewrite

 $\frac{1}{36}$  as a power of 6. 

• 6

•  $6^2$  

•  $6^6$  

•  $6^{-2}$  

Name the exponent: 

 $7^{2x+3}$  

• Exponent is 2x

• Exponent is 2

• Exponent is 3

• Exponent is 2x + 3

• Exponent is 7

Name the base in the power below: 
 $8^{-2}$  

• Base is -2

• Base is 0

• Base is 1

• Base is 8

• Base is 1/8

 $7^{6x-2}=7^{3x+31}$  

Solve the exponential equation:

• x = 3

• x = 11

• x = 7

• x = -3

 $5^{x-24}=5^{4x}$  

Solve the exponential equation:

• x = 3

• x = -8

• x = -6
  

• x = -5

 $3^{x+9}=3^{25}$  

Solve the exponential equation:

• x = 16

• x = 3

• x = 31

• x = 5

Solve the following exponential equation:
 $9^{8-x}=27^{x-3}$  

•  $x=5$  

•  $x=-5$  

•  $x=\frac{1}{5}$  

•  $x=-\frac{1}{5}$  

Solve the following exponential equation:

 $7^{-x}=49$  

•  $x=1$  

•  $x=-1$  

•  $x=2$  

•  $x=-2$