Answer:
log(x^7·y^6/9)
Explanation:
You want to write 7log(x) +6log(y) -2log(3) as a single logarithm.
Rules of logs
The relevant rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a^b) = b·log(a)
log(a/b) = log(a) -log(b)
Application
Using these rules, we can combine the logarithms as follows:
7log(x) +6log(y) -2log(3)
= log(x^7) +log(y^6) -log(3^2)
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