Exponential Equations (Change of Base)

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

Tags

CCSS.7.EE.B.4A

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.BF.B.5

CCSS.HSF.LE.A.4

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

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSF.BF.B.5

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.HSF.BF.B.5

CCSS.HSF.LE.A.4

2³ⁿ = 4

• 2

• 1/3

• 4

• 2/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

Solve 8 = 2^5x+7

• x = ⅘
• x = ¼
• x = -⅘
• x = -¼

Tags

CCSS.HSA.CED.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

• 6⁴

• 6²

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.3

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

2^2x+6=32

• x = -1/2

• x = 11

• x = 1/2

• x = -11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4