Learn how to use one to one property of logarithms to solve an equation

The video tutorial covers solving logarithmic equations using the one-to-one property. It begins with an introduction to logarithms and an example, followed by an explanation of the one-to-one property. The tutorial then demonstrates solving equations by applying this property and concludes with verifying the solutions.

What does the one-to-one property of logarithms state?

• If two logarithms with different bases are equal, their bases are equal.

• If two logarithms with the same base are equal, their bases are equal.

• If two logarithms with different bases are equal, their arguments are equal.

• If two logarithms with the same base are equal, their arguments are equal.

In the example given, what is the value of X if 3 squared equals three to the X?

• 0

• 3

• 2

• 1

What is the first step in solving the equation 4P - 2 = 5P - 5?

• Add 2 to both sides

• Subtract 4P from both sides

• Add 5P to both sides

• Subtract 5P from both sides

Why is it important to substitute the solution back into the original logarithmic equation?

• To find a different solution

• To change the base of the logarithm

• To check if the solution is correct

• To simplify the equation further

What is the final solution for the equation 4P - 2 = 5P - 5 after solving?

• P = 2

• P = 5

• P = 1

• P = 7/9