How to find the inverse of a logarithmic function, f(x) = log2 (x)

The video tutorial explains how to find the inverse of a function, specifically focusing on logarithmic functions. It begins with an introduction to inverse functions, followed by the process of swapping variables in equations. The tutorial then covers converting logarithmic equations to exponential form and rewriting functions in inverse form. The video concludes with a summary of the process and key points, emphasizing the relationship between logarithms and exponentials as inverses.

What is the first step in finding the inverse of a function?

• Multiply by 2

• Change the function to include a 'Y'

• Solve for 'X'

• Divide by the base

When swapping variables to find an inverse, which variables are swapped?

• A and B

• P and Q

• X and Y

• M and N

How can a logarithmic equation be converted to solve for 'Y'?

• By converting to exponential form

• By subtracting the exponent

• By adding the base

• By dividing by the base

What is the inverse of the function f(x) = log base 2 of x?

• f inverse of x = x^2

• f inverse of x = 2^x

• f inverse of x = log base 2 of x

• f inverse of x = x/2

What is the relationship between logarithms and exponentials?

• They are unrelated

• They are both linear functions

• They are inverses of each other

• They are the same