Question

What is the expand, and condense of: log_7 (x^3/y)^3



are these correct?

expand: 3 log_7 (x^3) – 3 log_7 (y)

condense: log_7 (x^9/y^3)

Answer 1

If your original was
log₇( (x^3/y)^3 )
then your last line of
3 log₇ (x^3) – 3 log₇ (y)

can be taken one step further to
9 log₇ x - 3 log₇ y

I agree with your other result