Logarithmic Functions and Properties

This video tutorial by Mr. Banker explores the inverses of exponential functions, focusing on the relationship between exponential and logarithmic forms. It explains how to switch between these forms and provides examples of evaluating logarithms by converting them into exponential functions. The tutorial also covers properties and restrictions of logarithms, including advanced properties, and revisits examples with alternative methods to reinforce understanding.

What is the inverse of an exponential function?

• A logarithmic function

• A trigonometric function

• A polynomial function

• A linear function

How can you convert the logarithmic form y = log base B of X to exponential form?

• B^y = X

• B = y^X

• X^B = y

• X = B^y

What is the value of log base 2 of 8?

• 4

• 2

• 3

• 5

What power of 3 gives the square root of 3?

• 3

• 2

• 1/2

• 1/3

What is the value of log base 5 of 1/25?

• 2

• -2

• 1

• -1

What is the value of log base B of 1?

• 0

• 1

• B

• B^2

What is the value of log base B of B?

• B

• 1

• 0

• B^2

What is the value of log base B of B to the Y?

• B

• 1

• 0

• Y

What is the value of B raised to the power of log base B of X?

• 1

• 0

• X

• B

How can you simplify log base 2 of 8 using properties of logarithms?

• Rewrite 8 as 2^3 and cancel out the bases

• Rewrite 8 as 2^2 and cancel out the bases

• Rewrite 8 as 2^4 and cancel out the bases

• Rewrite 8 as 2^1 and cancel out the bases