Tutorial - Solving logarithmic equations ex 13, 2logx+log4=2

The video tutorial explains how to solve a logarithmic equation using properties of logarithms. It begins by introducing the properties, such as raising a number to the power of a logarithm. The tutorial then applies these properties to transform and solve the equation. The solution involves rewriting the equation, using inverse operations, and evaluating the results. The tutorial concludes by identifying extraneous solutions and confirming the valid solution.

What property of logarithms allows you to raise a number to the power of the logarithm?

• Product Property

• Quotient Property

• Power Property

• Change of Base Property

How can the equation log(X^2) + log(4) = 2 be rewritten using the product property?

• log(4) * log(X^2) = 2

• log(4X) = 2

• log(4X^2) = 2

• log(4) + log(X^2) = 2

What is the value of X when solving 10^2 = 4X^2?

• X = 50

• X = 5

• X = 25

• X = 10

Why is -5 considered an extraneous solution in the context of logarithms?

• Because it is not a real number

• Because logarithms cannot be negative

• Because you cannot take the logarithm of a negative number

• Because it does not satisfy the original equation

What is the only valid solution for X in the equation discussed?

• X = 10

• X = -5

• X = 0

• X = 5