Solving Exponential Functions

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Tags

CCSS.HSF.BF.B.5

• take the LOG of both sides

• subtract 4 to both sides

• divide by 4 on both sides

• divide by 8 on both sides

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

Tags

CCSS.7.EE.B.4A

log(x+6) = 1

• 4
• 4.222
• -5
• -9.550

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.7.EE.B.4A

8^3x+3 = 8⁶

• x=28
• x=3
• x=1
• x=12

Tags

CCSS.7.EE.B.4A

• divide by 4

• divide by 10

• subtract 4

• take the LN of both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve:
16^x-3 = 8^x-3

• 9
• -3
• 0
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSF.LE.A.1

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSF.LE.A.1