Where do logarithms come from

The video tutorial covers exponential functions, focusing on y = b^x, and explores how to find and graph their inverses. It explains the process of reflecting graphs over the x=y line and introduces the algebraic method for calculating inverses. The tutorial also introduces logarithms as a tool for solving inverse functions, explaining their relationship to exponential equations.

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

• Reflect it over the line X = Y

• Reflect it over the Y-axis

• Reflect it over the X-axis

• Reflect it over the origin

When finding the inverse of an exponential function, what should you do with the X and Y variables?

• Divide them

• Add them together

• Multiply them

• Swap them

What mathematical concept is introduced as the inverse of an exponential function?

• Derivative

• Square root

• Integral

• Logarithm

What does the logarithmic function Y = log base B of X represent?

• Y raised to the B power equals X

• B raised to the X power equals Y

• X raised to the B power equals Y

• B raised to the Y power equals X

In the context of logarithms, what does the expression B^Y = X mean?

• B is the exponent, Y is the base, and X is the result

• B is the base, Y is the exponent, and X is the result

• B is the result, Y is the exponent, and X is the base

• B is the result, Y is the base, and X is the exponent