Algebra 2 - Using properties of exponents to help you solve a logarithmic equation, log(x) +log(8)=2

The video tutorial addresses common mistakes students make with logarithms, particularly the incorrect cancellation of logs. It explains the correct method to combine logarithms using logarithmic rules and demonstrates how to rewrite a logarithmic equation in exponential form. The tutorial concludes by solving the equation to find the value of X, emphasizing the importance of following proper mathematical procedures.

What is a common mistake students make when dealing with two logarithms?

• They try to add them directly.

• They attempt to cancel them out.

• They multiply them together.

• They ignore one of the logarithms.

When can you cancel out logarithms?

• When they are multiplied together.

• When they are equal to each other.

• When they are added together.

• When they have the same base.

How do you combine log of X and log of 8?

• log(X + 8)

• log(8X)

• log(X/8)

• log(X - 8)

What is the exponential form of the equation log(8X) = 2?

• 8X = 2^10

• 10^2 = 8X

• 8X = 10^8

• 2^8 = 10X

What is the value of X when 10^2 = 8X?

• X = 100

• X = 12.5

• X = 8

• X = 10