Exponential and Logarithmic Equations

Solve log₂(2x - 3) = log₂(4x + 5)

• 4

• -4

• -.33

• .33

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve: log₃ (5) + log₃(x) = log₃(2) + log₃(x + 9)

• 5

• 11

• 6

• 3

Tags

CCSS.HSF.BF.B.5

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Tags

CCSS.HSF.BF.B.5

log₃ (x-3) + 10 = 14

• 5

• 13

• 84

• -20

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.BF.B.5

log₂(2) + log₂(8x) = 6

• x = 3
• x = 2
• x = 6
• x = 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Solve for x:  log₆x + log₆(x-5) = 2

• √7
• 9
• 4
• none of these

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Find the domain and range of:

 $f\left(x\right)=6^{\left(x+4\right)}-5$ 

• D: all real numbers
  R: y < -5

• Domain: all real numbers

  Range: all real numbers

• Domain: x > -4
  Range: all real numbers

• Domain: all real numbers
  Range: y > -5

Solve the equation for x.

• 5.352
• 4.326 E91
• 2.324
• 1.89

Tags

CCSS.HSF.LE.A.4