Question

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms.

Answer 1

\[\log_{2}(x ^{2}y ^{3}/9) \]

Answer 2

i dont understand how to set it up

Answer 3

You already have the rule for the log of a product.
Here is the rule for a division.

Rule of logarithms:

\(\Large \log_b \dfrac{x}{y} = \log_b x - \log_b y\)

Answer 4

Treat the entire numerator as x.
Then you have log of the numerator minus log of the denominator.

Answer 5

can you set it up for me?

Answer 6

Yes.
Here is the rule for division of logs again.