Solving Logarithms and Exponentials

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.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

log₆(2x + 3) = 3

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

Tags

CCSS.HSF.BF.B.5

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.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

Solve:
log x + log 8 = 2 

• 10
• 12.5
• 15
• 17.5

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Solve for x:
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.B.3

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.BF.B.5

ln(4-v) = ln(3v)

• 1
• -2
• No Solution
• -5

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.2