Solving Exponential Equations

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.HSF.BF.B.5

Solve 8 = 2^5x+7

• ⅘
• ¼
• -⅘
• -¼

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve 3³ = 3^{4x + 2}

• ¼
• -¼
• ½
• -½

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve for n:
2^-2n = 2⁶

• -1
• -7
• 5
• -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

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

• 7
• -1/4
• 1/2
• 1/3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for r:
3^-3r = 3⁵

• -4
• -5/3
• 2
• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
3^2x = 27

• 3/2
• -2
• 0
• 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

Solve for p:
4^p+2 = 64

• -16/9
• 1
• 8
• 7/6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• -1
• -6/7
• -5
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4