Logarithmic Functions Review

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Describe domain of the function shown: f(x)=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Solve for x:

• 1

• 2

• .5

• 4

• x = 2

• x = -2

• y = 2

• y = -2

Describe the graph of f(x) = log x changed to f(x) = 3log(x + 1) - 5

• vertical stretch by a factor of 3 and shift right 1 and 5 units down

• vertical stretch by factor of 3 and shift left 1 and 5 units down

• vertical compress by factor of 3 and shift right 1 and 5 units down

• vertical compress by factor of 3 and shift left 1 and 5 units down

Which of the following transformations would take f(x)= lnx to g(x)= −ln(x+5)

• reflection over the x-axis

• reflection over the y-axis

• translate right 5

• translate up 5

• translate left 5