Applying quotient rule of logarithms to solve the equation, log2 (x+4) - log2 (x-3)=3

The video tutorial covers the rules for canceling logarithms, emphasizing that it only applies when isolated logarithms with the same base are on opposite sides of an equation. It then demonstrates how to solve logarithmic equations by converting them to exponential form. The tutorial further explains solving exponential equations using multiplication and the distributive property. Finally, it highlights the use of the quotient property and concludes with a summary of the methods discussed.

Under what condition can logarithms be canceled out?

• When they are part of a complex equation

• When they are isolated and on opposite sides with the same base

• When they are on the same side and have different bases

• When they are both in exponential form

What is the result of condensing log base 2 of (X + 4) and (X - 3)?

• log base 2 of (X + 4) * (X - 3)

• log base 2 of (X + 4) + (X - 3)

• log base 2 of (X + 4) / (X - 3)

• log base 2 of (X - 3) / (X + 4)

What is the alternative method to solve logarithmic equations if the logarithm equality property cannot be used?

• Use the quadratic formula

• Convert to exponential form

• Apply the Pythagorean theorem

• Simplify using trigonometric identities

How do you eliminate a denominator in an equation?

• Add the denominator to both sides

• Divide both sides by the denominator

• Multiply both sides by the denominator

• Subtract the denominator from both sides

What is the final solution for X in the equation 8 = X + 4 / (X - 3) after solving?

• X = 4

• X = 2

• X = 3

• X = 5