Applying product rule of logarithms to solve the equation, log6 (2c)+log6 (8)=log6 (80)

The video tutorial addresses common mistakes students make with logarithms, particularly when solving equations involving logarithms. It emphasizes the importance of understanding and correctly applying the properties of logarithms, such as the product property, to solve problems. The instructor guides students through a specific problem, demonstrating how to combine logarithms with the same base and solve the resulting equation. The tutorial aims to clarify misconceptions and reinforce the correct approach to handling logarithmic equations.

What is the most common mistake students make when dealing with logarithms?

• Ignoring the coefficients in front of logarithms

• Using the wrong logarithm property

• Incorrectly canceling out logarithms on both sides

• Forgetting the base of the logarithm

Which property of logarithms allows you to combine two logarithms with the same base into one?

• Power Property

• Quotient Property

• Change of Base Property

• Product Property

When can you eliminate logarithms on both sides of an equation?

• When they are subtracted

• When they have different bases

• When they have the same base and are equal

• When they are added together

What is the result of applying the product property to log base 6 of 2C plus log base 6 of 8?

• log base 6 of 2C + 8

• log base 6 of 80

• log base 6 of 10C

• log base 6 of 16C

After simplifying the logarithmic equation, what is the next step to solve for C?

• Multiply both sides by 16

• Subtract 16 from both sides

• Add 16 to both sides

• Divide both sides by 16