Tutorial - Solving logarithmic equations ex 15, log4(-x)+log4(x+10)=2

The video tutorial explains how to solve a logarithmic equation by combining logarithms, applying the distributive property, converting to exponential form, and using factoring techniques. It emphasizes the importance of checking solutions for validity, especially when dealing with negative numbers in logarithms.

What property allows us to combine two logarithms into one?

• Associative Property

• Properties of Logarithms

• Property of Equality

• Distributive Property

What is the result of converting the logarithmic equation to exponential form?

• 4^2 = -X^2 - 10X

• 4^2 = -X^2 + 10X

• 4^2 = X^2 + 10X

• 4^2 = X^2 - 10X

Which technique is used to solve the quadratic equation obtained from the logarithmic equation?

• Quadratic Formula

• Factoring

• Graphing

• Completing the Square

What are the solutions to the equation after factoring?

• X = 8 and X = 2

• X = -8 and X = 2

• X = 8 and X = -2

• X = -8 and X = -2

Why is it important to verify solutions in logarithmic equations?

• To ensure they are positive

• To check for extraneous solutions

• To confirm they are integers

• To validate the original equation