Exponential and Logarithm Review

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 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, 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) ?

• 
• 
• 
• 

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

Which has a horizontal asymptote?

• exponential

• logarithm

• both

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4 + 5

• x=4

• y=4

• x=5

• y=5