Solving Exponential Equations with the Same Bases

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

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

• x = 5
• x = -5
• x = 1/5
• x = -1/5

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

• -1
• -6/7
• -5
• 4