Determining the inverse of exponential and logarithmic functions ex 1, y = log8 (x)

The video tutorial explains the relationship between exponential and logarithmic forms, using examples like 3^2 = 9 and its logarithmic form log base 3 of 9 = 2. It further discusses how to find the inverse of a logarithmic equation by rewriting it in exponential form, demonstrated with the equation X = log base 8 of Y, which is rewritten as Y = 8^X. The tutorial aims to help viewers understand the conversion between these mathematical forms and the process of finding inverses.

What is the logarithmic form of the exponential equation 3^2 = 9?

• log base 9 of 3 = 2

• log base 2 of 9 = 3

• log base 3 of 9 = 2

• log base 3 of 2 = 9

What is the first step in finding the inverse of a logarithmic equation?

• Add the base to both sides

• Swap the variables X and Y

• Multiply both sides by the base

• Divide both sides by the base

How can you express X = log base 8 of Y in exponential form?

• Y = X^8

• Y = 8^X

• 8 = Y^X

• X = 8^Y

Which of the following represents an inverse function in exponential form?

• X = 8^Y

• Y = log base 8 of X

• Y = 8^X

• X = log base Y of 8

What is the exponential form of the equation X = log base 8 of Y?

• Y = 8^X

• X = 8^Y

• 8 = X^Y

• Y = X^8