Exponentials and Logarithms

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0
• log₆5
• log₆1
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

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

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Expand the logarithm.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

Condense into a single logarithm.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3