Properties of Logs

Simplify the following logarithmic function:
log₂2⁸ =

• 8
• 2
• 1
• 16

Tags

CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243
• log₂₄₃3 = 5
• log₅243 = 3
• log₃243 = 5 

Tags

CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
(⅓)^-2 = 9

• log_⅓(-2) = 9
• log₉(-2) = ⅓
• log_⅓9 = -2
• log₉⅓ = -2

Tags

CCSS.HSF.BF.B.5

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand.

• log x + 5 log y
• 5 log x + 5 log y
• 5 log x - log y
• log x - 5 log y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense:
 log4- logx- log5+log3

• log(20/3x)
• log(12x/5)
• log(12/5x)
• log(5x/12)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve:
3^x-1 = 81

• 5
• 6
• 9
• 10

Tags

CCSS.7.EE.B.4A

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.BF.B.5