Algebra 2 - Learn how to use the properties of logarithms to solve an equation log (x) -log (2)=1

The video tutorial explains how to use logarithmic operations to solve equations. It starts by discussing the subtraction of two logarithms and how it can be rewritten as a division or quotient. The instructor then demonstrates rewriting a logarithmic equation and solving for X. Finally, the solution is verified to ensure accuracy.

What operation can be used to rewrite the subtraction of two logarithms?

• Division

• Addition

• Exponentiation

• Multiplication

How can the equation log(X/2) = 1 be rewritten in exponential form?

• X/2 = 10^1

• X = 10^2

• X/2 = 1^10

• X = 2^10

What is the next step after rewriting log(X/2) = 1 as 10^1 = X/2?

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 2

What is the final value of X after solving the equation?

• 20

• 15

• 25

• 10

Why is it important to verify your solution in logarithmic equations?

• To check for calculation errors

• To confirm the solution satisfies the original equation

• All of the above

• To ensure the solution is within the domain