Solving Logarithmic and Exponential Equations

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

2 * 4^{3x – 6} – 8 = 120

• x = 3
• x = 4
• x = 2.9
• x = 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

log₂(2) + log₂(8x) = 6

• x = 3
• x = 2
• x = 6
• x = 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

log (15.5) = -2 + log 5x

• x = 3.10
• x = 310
• x = .25
• x = 15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

Tags

CCSS.HSF.BF.B.5

3^{(7x + 2)} - 3 = 352,944

• x = 154
• x = 9
• x = 4
• x = 24

Tags

CCSS.7.EE.B.4A

2log (2x)⁴ = 16

• x = 4
• x = 10
• x = 50
• x = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

3^{2x – 6}  = 81

• x = 5
• x = 4
• x = 3
• x = 2

Tags

CCSS.7.EE.B.4A

This question is SLIGHTLY a challenge but you should all be able to do it!! 
log x - log 8 = 3

• x = 1000
• x = 800
• x = 8000
• x = 100

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₅ (2x - 3)² = 6

• x = 128
•  x = 64
• x = 4
• x = 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4