Graphs and Applications of Logs and Review

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

• logx+logy

• xlogy

• log(x-y)

• logx-logy

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Logarithmic functions are the inverse of...

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

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Without a calculator, list the following in order, least to greatest:

A) log₅ 30

B) log_0.25 32

C) log₇ 49

D) log₈ 40

• A,B,C,D

• A,B,D,C

• B,D,C,A

• B,D,A,C

Without a calculator, determine which of the following ISN"T possible. Check all that apply.

• log₂ (x - 4) when x = 4

• log₃ (x+3) when x = 0

• -2log₅ (x-1) when x = 0

• ¹/₂ log (x+4) when x = -2

Tags

CCSS.HSF.BF.B.5

Which of the following has a domain of all real numbers, x > 2 ?

• y = log₂ x

• y = log₃ (x+2)

• y = log₄ (x - 2)

• y = log₇ x - 2

Which of the following is the sketch of the graph of y = -log₃ (x+5) ?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E