Express
2 log x + 3 log y
as one logarithm.
Apply the "log of.a power" rule for each term:
k log p = log(p^k) (p > 0)
then,
2 log x + 3 log y
= log(x^2) + log((y^3)
Now, use another log rule to bring those terms together:
"The sum of logarithms equals the logarithm of the product."
and you finally get
= log(x^2 * y^3) <----- there it is.
I hope this helps. =)