Properties of Logarithms

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d
• w^d = h
• h = w^d
• h^w = d

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₁₂1

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃(¹/₃)

• -2

• -¹/₂

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Expand

• log₃9 - (log₃x + log₃y)
• log₃9 + log₃x + log₃y
• 9 - log₃x + log₃y
• 9 - log₃x - log₃y

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Expand the logarithm.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3