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

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.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• A
• B
• C
• D

Tags

CCSS.HSA.REI.A.1

Solve:

log x + log 8 = 2

• 92

• 12.5

• 12

• 17.5

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSF.BF.B.5

Solve for x.

• no solution
• only 6
• 6 and -2
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve.
ln√(x+3)=4

• e²-3
• e⁴-3
• e⁸-3
• e⁸+3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4