SOLUTION: Expand the logarithm: {{{log(((4x^3)/(y^2(x-1)^5)))^(3/2)}}} Thank you

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Expand the logarithm: {{{log(((4x^3)/(y^2(x-1)^5)))^(3/2)}}} Thank you      Log On


   

Question 917270: Expand the logarithm:
log%28%28%284x%5E3%29%2F%28y%5E2%28x-1%29%5E5%29%29%29%5E%283%2F2%29
Thank you
Answer by Hawksfan(61) About Me  (Show Source):
You can put this solution on YOUR website!

log%28%28%284x%5E3%29%2F%28y%5E2%28x-1%29%5E5%29%29%29%5E%283%2F2%29
in logarithms
multiplication of products becomes an addition
division of products becomes a subtraction
log a^b becomes b log a
3/2[ log (4x^3)] - [log y^2 + log(x-1)^5]]
3/2[3 log 4x - 2log y - 5 log (x-1)]
9/2log 4x -9 log y -15/2 log(x-1)