Solving Exponential Equations

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Solve for x:
5^2x = 5^-x

• 0
• -6
• 8
• 1

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

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

• 8
• 4
• 2
• Cannot be determined

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

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

• x = -1
• x = -4
• x = -3
• x = 1

Solve for p:
4^p+2 = 64

• p = -16/9
• p = 1
• p = 8
• p = 7/6

Solve for a:
5^{a + 2} = 1/125

• -1
• -6/7
• -5
• 4

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:

 $7^{-x}=49$  

•  $x=1$  

•  $x=-1$  

•  $x=2$  

•  $x=-2$