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

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

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

• -1
• -6/7
• -5
• 4

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

• 3⁶
• 6³
• 6²
• 3¹²

Solve for b:
4^{3b - 3} = 1/16

• 7
• -1/4
• 1/2
• 1/3

Solve

• -1/3

• -3

• -1

• 3

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

• x = 5
• x = -5
• x = 1/5
• x = -1/5

81^3-x = (1/3)^5x-6

• 6
• -6
• 9/2
• 3/2