Solving Exponential Equations

To solve an exponential equation, the _______ must be the same!

• variables

• coefficients

• bases

• exponents

To solve exponential equations with different bases, we must ___________.

• Divide both sides by the same base
• Rewrite the exponents so that they are the same

• Rewrite the bases so that they are the same

• Multiply both sides by the same base

Tags

CCSS.HSF.BF.B.5

CCSS.HSN.RN.A.2

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

• 3⁶
• 6³
• 6²
• 3¹²

Tags

CCSS.HSF.BF.B.5

Re-write 32 as a power of 2.

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.4

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

• Cannot be determined

• 4
• 2
• 8

Solve 8 = 2^5x+7

• ⅘
• ¼
• -⅘
• -¼

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve 3³ = 3^{4x + 2}

• ¼
• -¼
• ½
• -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Solve for x:
3^2x = 27

• -2

• 3/2

• 5

• 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• -5

• -1
  

• 1

• 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve for v:
2^{-v - 3} = 1

• -3

• -8

• 6

• 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4