natural logarithmic function..?

Question

1. f(w) = ln 4th root of [(3w+1) / (2w-5)]
2. ln(xy) + x + y = 2

guyz.. please help me in those problems.. huhuhuh.. im so sorry .. thank you in advance..!

Answer 1

1.
(1/4)(log(3w + 1) - log(2w - 5)).

2.
ln(xy) = 2 - x - y
xy = e^(2 - x - y).
I don't see much that can be done with this one.

Answer 2

ln x root of y= 1/x ln y
this the property to be used here
now f[w]= 1/4 ln[3w+1]/[2w-5]

Answer 3

no question to answer.
derivative?

y=?

or x=?


Let me take derivative of the second one

(1y+xy')/xy+1+y'=0