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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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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.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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