Logarithmic and Exponential Functions

Rewrite in Exponential Form:

log₆ 36 = 2

• 6 = 36²

• 6³⁶ = 2

• 6² = 36

• 36 = 2⁶

Tags

CCSS.HSF.BF.B.5

Solve:

log₄ 1 = y

• 0

• 1

• 4

• 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₃ 4 = 81

• log₄ 81 = 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite in logarithmic form:

b^x = a

• log_b a = x

• log_x a = b

• log_b x = a

• log_a b = x

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:

log₆ (3x - 2) = log₆ (5x - 8)

• x = 2

• x = 3

• x = 6

• x = 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

Solve for x:

log₃ (x²-2x) = log₃ (x+10)

• x=5 & x=-2

• x=5

• x=3

• x=-2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:

log₆ x = 3

• x= 216

• x= 36

• x= 72

• x= 3

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate:

log₈ 8

• no solution

• 1

• 8

• 0

Tags

CCSS.HSF.BF.B.5

Solve for x:

log₃₂ x = ¹/₅

• x= -5

• x= 2

• x= 3

• x= 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate:

log₄(¹/₆₄)

• 3

• 4

• 2

• ¹/₂

Tags

CCSS.HSF.BF.B.5