Solving Exponential and Logarithmic 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

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

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.HSA.CED.A.1

CCSS.HSA.REI.A.1

3^{2x – 6}  = 81

• x = 5
• x = 4
• x = 3
• x = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

Evaluate. 

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve:
log x + log 8 = 2 

• 10
• 12.5
• 15
• 17.5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
Log₃(x-5)=2

• 25
• 5
• 130
• 14

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve. 
4^(6x-12)=7

• 1.40
• 2.23
• 13.40
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4