Logarithmic and Exponential Functions

Use the logarithmic properties to condense the expression correctly. 6\log x+2\log y

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

f(x)=log₅(x+4) - 2

Describe the asymptote

• Horizontal Asymptote x = -4

• Vertical Asymptote x = -4

• Horizontal Asymptote x = 4

• Vertical Asymptote x = 4

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

f(x)=log₅(x+4) - 2 Find the Domain and Range

• Domain: x ≥ -4

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -4

• Domain: x > -4

  Range: all real numbers

f(x)=log₅(x+4) - 2

Describe the transformation

• translation 4 units to the right, 2 units down

• translation 4 units to the left, 2 units down

• translation 4 units to the up, 2 units right

• translation 4 units to the up, 2 units left

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

What is the asymptote of y = 2^x ?

• y = 0

• x = 0