Solving Exponential Equations with Like Bases

Solve 3³ = (3²)^{2x + 1}

• x = ¼

• x = -¼

• x = ½

• x = -½

Solve for x:
12^2x-10 = 1

• 1

• 10

• -5

• 5

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

• 8

• 4

• 2

• Cannot be determined

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

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve

• -2

• 6

• 9

• 3

To solve 36 = 6^x, re-write 36 as what base and exponent?

• 3⁶

• 6³

• 6²

• 3¹²

Solve for x.

16^2x = 256^2x+5

• 5

• -5

• 2

• 16

• Multiply the exponents

• Set the exponents equal to each other

• Add the exponents

Solve for x.

• x= 0

• No Solution

• x= 3

• x= 2

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