Log Properties

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

Simplify the following logarithmic function:
log₂2⁸ =

• 8
• 2
• 1
• 16

Tags

CCSS.HSF.BF.B.5

Simplify the following logarithmic function:
log₂16=

• 2
• 16
• 8
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Simplify the following:
6^log₆36

• 6
• 36
• 1
• 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32
• 2³² = 5
• 5² = 32
• 32² = 5

Tags

CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
e³ ≈ 20.09

• ln3 ≈ 20.09
• ln20.09 ≈ 3
• lne ≈ 3
• ln20.09 ≈ e

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