Logarithmic Properties and Solutions

The video tutorial explains how to solve an equation by inspection and using logarithms. Initially, it shows that x=2 is a solution by direct observation. Then, it introduces a logarithmic approach, applying the power property of logarithms to transform the equation. The process involves simplifying both sides by division, leading to another solution, x=4, found by inspection. The tutorial emphasizes understanding both inspection and logarithmic methods for solving equations.

What is the initial solution to the equation when solved by inspection?

• X = 1

• X = 2

• X = 4

• X = 3

Which mathematical property is applied to both sides of the equation to explore other solutions?

• Distributive Property

• Associative Property

• Power Property of Logarithms

• Commutative Property

What operation is performed after applying the power property of logarithms?

• Multiplication

• Division

• Subtraction

• Addition

What is the additional solution found after further simplification using logarithms?

• X = 4

• X = 3

• X = 2

• X = 1

What is the final form of the equation after applying the power property of logs in reverse?

• log x = log 2

• log x = log 4

• log x = log 8

• log x = log 16