Solving Exponential and Log Equations

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Tags

CCSS.HSF.LE.A.4

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4

Evaluate.

• -2
• 2
• 6
• -6

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

log₆(2x + 3) = 3

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

Tags

CCSS.HSF.BF.B.5

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

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

To solve, 16^5x = 64^x+7, what would be the correct set-up?

There is more than one correct answer.

• 4^4(5x)=4^16(x+7)

• 8^2(5x)=8^8(x+7)

• 4^2(5x)=4^3(x+7)

• 2^4(5x)=2^6(x+7)

Tags

CCSS.HSA.CED.A.1

Rewrite the exponential as a log.

2^3x+1 = 12

• log(2)= 3x+1

• log₂(12)= 3x+1

• log(6)=3x+1

• log₁₂(2)= 3x+1

Tags

CCSS.HSF.BF.B.5