Solve Logarithmic Equations by Exponenting ex3

The video tutorial explains how to solve a logarithmic equation by isolating the logarithm, using inverse operations, and exponentiating both sides with a base of four. The process involves subtracting and multiplying to simplify the equation, ultimately solving for the variable X.

What are the components mentioned in the logarithmic expression?

• A square root inside the argument and a multiplication outside

• A division inside the argument and a subtraction outside

• A multiplication inside the argument and an addition outside

• A logarithmic base and a constant

What is the first step in isolating the logarithm?

• Multiply by 2

• Subtract 3 from both sides

• Divide by 2

• Add 3 to both sides

After subtracting 3, what operation is performed next?

• Multiply by 2

• Subtract 2

• Divide by 4

• Add 4

What base is used for exponentiation in this example?

• Base 5

• Base 4

• Base 3

• Base 2

What is the final simplified form of the equation?

• 8X = 16

• 8X = 8

• 8X = 32

• 8X = 4