Finding the derivative of y = ln ^ 3 (5x + 2) ^ 2

Finding the derivative of y = ln ^ 3 (5x + 2) ^ 2

y=ln^3(5x+2)^2
y'=3ln²(5x+2)² [ln(5x+2)²]'
=3ln²(5x+2)² [1/(5x+2)²][(5x+2)²]'
=[3ln²(5x+2)² /(5x+2)²][2(5x+2)](5x+2)'
=[6ln²(5x+2)² /(5x+2)]×5
=30ln²(5x+2)²/(5x+2)
=30(2ln(5x+2))² /(5x+2)
=[120ln²(5x+2)]/(5x+2)
This is the answer