Solving Algebraic Equations with Exponents

Solve for x:
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

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

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

• -1
• -6/7
• -5
• 4

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

• 7
• -1/4
• 1/2
• 1/3

• 1/2

• 5/8

• -1

• 8/5