Logarithm Practice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Evaluate. 

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)

• log₁₀ 7 + log₁₀ x

• 7log₁₀ x

• xlog₁₀ 7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate. 

• A

• B

• C

• D

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1

• 0

• 5

• -1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4