Logarithms

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSF-IF.C.7E

Describe the transformations of f(x)= -log₂(x+1)

• left 1
• left one & over the y-axis
• left one & over the x-axis
• right one & over the x axis

Which graph is logarithmic

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Tags

CCSS.HSF-IF.C.7E