Determining the inverse of exponential and logarithmic functions ex 2, y = 7^x

The video tutorial explains how to determine the inverse of a function by swapping the X and Y variables. It guides through rewriting the equation to solve for Y using logarithmic form, specifically converting to log base seven. The tutorial also covers the conversion process between exponential and logarithmic forms, providing a clear understanding of the steps involved.

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

• Rewrite the equation in exponential form

• Swap the X and Y variables

• Solve for X

• Convert to a quadratic equation

How do you express an equation in logarithmic form?

• By using the quadratic formula

• By swapping the X and Y variables

• By using the base of the exponent

• By solving for X

What does the equation log base seven of X equal to Y represent?

• An exponential function

• A quadratic equation

• A linear equation

• The inverse of the original function

What is the purpose of converting between exponential and logarithmic forms?

• To graph the function

• To simplify the equation

• To find the inverse of a function

• To solve for Y

What should you do after converting an equation to logarithmic form?

• Solve for X

• Swap the X and Y variables again

• Use the quadratic formula

• Graph the equation