Solving Logarithmic and Exponential Equations

Solve log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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.2

CCSS.HSF.BF.B.5

Expand: log(x-3)⁵/(y+2)⁹

• 5log(x-3) + 9log(y+2)
• 5log(x-3) - 9log(y+2)
• log(x-3) - log(y+2)
• 9log(y+2) - 5log(x-3)

Expand: log(∜x⁵)/(∛z)

• 5/4log x - 1/3log z
• 4/5log x - 3log z
• 5/4log x + 1/3log z
• ∜log x⁵ - ∛log z

Solve 5e^{3x - 2} + 15 = 35

• 1.13
• 1.29
• 1.10
• 0.87

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve: 9log₂√(x²+28) = 27

• x = 6 or -6
• x = 5 or -5
• x = 4 or -4
• x = 7 or -7

Tags

CCSS.HSF.BF.B.5

• 5
• 13
• 84
• -20

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4