Logarithmic Functions and Properties

Professor Dave explains logarithms as the inverse of exponentiation, detailing how they work and how to solve logarithmic equations. He covers the definition of logarithms, provides examples of solving equations, and discusses graphing logarithmic functions, including transformations and domain/range considerations.

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• Exponentiation

Which operation is the inverse of exponentiation?

• Root

• Logarithm

• Division

• Subtraction

What is the result of the square root of X squared?

• X cubed

• X

• X squared

• 2X

What does log base B of X equal to Y imply?

• B to the Y equals X

• X to the B equals Y

• Y to the B equals X

• B to the X equals Y

What is the value of log base two of eight?

• 5

• 4

• 3

• 2

What is the constraint on the base B in logarithms?

• B must be zero

• B can be any real number

• B must be positive and not equal to one

• B must be negative

What is the result of log base five of twenty-five?

• 2

• 1

• 4

• 3

What is the result of log base two of one?

• 2

• 0

• 3

• 1

What is the result of log base three of nine?

• 3

• 1

• 4

• 2

What is the solution to log base two of sixteen equals X?

• 3

• 5

• 2

• 4