Exponential Equations

Solve for x using the same base method.
3^x-20 = 27

• 17
• 27
• -7
• 23

Solve for x:

5^{x+ 2} = 1/125

• -1

• -6/7

• -5

• 4

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

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

• 8

• 4

• 2

• Cannot be determined

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

Complete the sentence for Solving Exponential Equations:

If the bases are the same...

• the exponents are not equal

• the exponents can change

• the exponents

  are equal

Solve: 6^-2

• 12
• -36
• 1/36
• 36

• -12

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Solve for p:
4^p+2 = 64

• -16/9
• 1
• 8
• 7/6