Exponential Equations - Method of Common Bases

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

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve for p:
4^p+2 = 64

• p = -16/9
• p = 1
• p = 8
• p = 7/6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• 3⁶
• 6³
• 6²
• 3¹²

Tags

CCSS.HSF.BF.B.5

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

• 8
• 4
• 2
• Cannot be determined

Tags

CCSS.8.EE.A.1

2^-m = 2^3m-3

• 4/3
• 3/4
• 2
• 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

What values of b make an exponential growth function?

• b > 0
• b <1
• b > 1
• 0 < b < 1

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5