log 2(x^3)(y^-2) =

Question

log 2(x^3)(y^-2) =

log 2 + 3 log x / 2 log y

log 2 + 3 log x - log 1/y^2

log 2 + 3 log x - 2 log y

6 log x - 2 log y

log 2 + log 3x - 2 log y

Answer 1

The y^-2 term moves to the denominator and becomes positive. Once this is complete, multiplication (the first 2 terms) corresponds to addition and division (the last term corresponds to subtraction. The exponents go in from of the log. All of these rules are reflected in this answer.

This choice is the correct answer: log 2 + 3 log x - 2 log y