2/26/21 Properties of Logarithms

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Expand the following logarithm: 
log₃ 10z 

• log₃ 10 - log₃ z
• log₃ 10 + log₃ z 
• zlog₃ 10
• log₃ z¹⁰

Tags

CCSS.HSF.BF.B.5

Expand the following logarithm: 
log_b x²y/z³  

• log_b 2x + log_b y - log_b 3z
• 2log_b x + log_b y - 3log_b z
• 2log_b x + log_b y + 3log_b z
• 2log_b x - log_b y - 3log_b z

Tags

CCSS.HSF.BF.B.5

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

Write as a single logarithm:

log(30) - log(6)

• -6log(30)

• log(24)

• 24

• log(5)

• 5

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

Rewrite in Exponential Form

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

log ₃ 9 =

• 1/2

• 2

• 1/3

• 3

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5