Logarithm Functions (2024)

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

What is the asymptote of the parent function y = log_bx?

• y = 0

• x = 0

• y = x

• x = 1

• y = 1

What is the x-intercept of the parent function y = log_bx?

• x = 0

• x = 1

• x > 0

• There is no x-intercept

• x = y

What is the y-intercept of the parent function y = log_bx?

• y = 0

• y = 1

• y > 0

• There is no y-intercept

• y = x

What are the domain and range of a parent log function?

• D: all real numbers

  R: y > 0

• D: x > 0

  R: y > 0

• D: all real numbers

  R: all real numbers

• D: x > 0

  R: all real numbers

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Rewrite in exponential form:

log_zy = x

Mathematical Equivalence

ON

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Rewrite 3⁴ = 81 in logarithmic form.

Mathematical Equivalence

ON