Condensing Logarithms Explained

The video tutorial covers the concept of condensing logarithms, which is the reverse process of expanding them. It explains the three main rules used in this process: the product rule, quotient rule, and power rule. Each rule is demonstrated with examples, showing how to combine multiple logarithmic expressions into a single one. The tutorial also includes more complex examples to illustrate the application of these rules in different scenarios.

In condensing logarithms, what is the result of applying the quotient rule to log base B of M minus log base B of N?

• log base B of M/N

• log base B of M+N

• log base B of M-N

• log base B of MN

What is the result of condensing log base B of M plus log base B of N using the product rule?

• log base B of M/N

• log base B of M*N

• log base B of M-N

• log base B of M^N

How do you condense log base B of M minus log base B of N?

• log base B of M*N

• log base B of M+N

• log base B of M-N

• log base B of M/N

What does 5 times log base 8 of 2 become when condensed using the power rule?

• log base 8 of 2/5

• log base 8 of 25

• log base 8 of 2^5

• log base 8 of 10

After applying the power rule, what is the condensed form of one-half log base 3 of 49?

• log base 3 of sqrt(49)

• log base 3 of 7

• log base 3 of 49^2

• log base 3 of 49

What is the condensed form of log base 3 of 4 plus log base 3 of y plus one-half log base 3 of 49?

• log base 3 of 4y7

• log base 3 of 4/y/7

• log base 3 of 28y

• log base 3 of 4+y+7

When condensing logarithms, what does the expression 2 log base 8 of y become?

• log base 8 of sqrt(y)

• log base 8 of y^2

• log base 8 of 2y

• log base 8 of y/2

How is log of 8 one-third plus 2 log of y condensed?

• log of 8/3y

• log of 8y^2

• log of 2y^2

• log of 2+y^2

What is the final condensed form of log base 2 of 15 plus log base 2 of 4 minus log base 2 of 6?

• log base 2 of 10

• log base 2 of 13

• log base 2 of 9

• log base 2 of 6

What does the expression log base 5 of 8 plus log base 5 of 27 minus log base 5 of 3 simplify to?

• log base 5 of 2

• log base 5 of 35

• log base 5 of 8/27

• log base 5 of 3