Logarithms

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x
• 1^x=y+2
• 10^x=y+2
• x^(y+2)=10

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

log₉(x)+log₉(x+2)=log₉(35)

• 5
• -7
• 5, -7
• -7, -13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Determine the equation of the asymptote?

• x=3

• x=4

• y=-4

• y=4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5