expand log(6x^3y^6)

Question

 I"M DYING

Answer 1

log(6x³y⁶) = log6 + log(x³) + log(y⁶)

 

               = log6 + 3logx + 6logy

Answer 2

i want you to parenthesize this properly.

 

 Is it supposed to be     log[(6x^3y)⁶]    ? ?

 

The correct answer must be based on the intended (correct) order of operations--that's why parentheses or other grouping symbols must be present.

 

All of this work will be based on these three rules:

1.  The log of x^y is y logx

2.  The log of a product is the sum of the logs of the factors

3.  The log of a quotient is the difference of the log of the numerator and the log of the denominator.