Logs Workshop

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

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

Without technology, determine which of the following is an increasing function. Check all that apply.

• y = log₂ (x - 4)

• y = log₃ (x+3)

• y = -2log₅ (x-1)

• y = ¹/₂ log x + 4

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

Without a calculator, evaluate log₁₂₅ 25

• ²/₃

• ³/₂

• ¹/₆

• ¹/₅

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

• 
• 
• 
• 

Without a calculator, evaluate log₆ -36

• not possible

• -2

• 2

• ¹/2