How to determine the inverse of a logarithmic equation y=loga (x)

The video tutorial explains how to find the inverse of exponential and logarithmic equations. It begins by discussing the inverse of exponential equations, leading to logarithmic equations. The process of finding the inverse of a logarithmic equation is detailed, emphasizing the swapping of variables. The tutorial further clarifies the representation of logarithms in terms of exponents, concluding with a summary of the inverse process.

What is the result of finding the inverse of an exponential equation?

• A quadratic equation

• A logarithmic equation

• A linear equation

• A polynomial equation

When finding the inverse of a logarithmic equation, what is the first step?

• Add the base to both sides

• Multiply both sides by the base

• Swap the variables

• Divide by the base

In the context of logarithmic equations, what does swapping the variables achieve?

• It simplifies the equation

• It solves the equation

• It finds the inverse

• It finds the derivative

What does the equation X = log base a of Y represent?

• a raised to the Y power equals X

• Y raised to the a power equals X

• a raised to the X power equals Y

• X raised to the a power equals Y

What is the inverse of the logarithmic equation X = log base a of Y?

• Y = a to the power of X

• X = Y to the power of a

• Y = X to the power of a

• X = a to the power of Y