Question

please solve it....hurry!!!!

Answer 1

heya man , here is the answer !!

consider , 3^lnx = 2^lny

taking log on both side ,,

(lnx)(ln3) = (lny)(ln2)

=> lny = (lnx)(ln3)/ln2

consider , 2x^ln2 = 3y^ln3

ln2(ln2+lnx) = ln3(ln3+lny)

(ln2)²+ln2×lnx = (ln3)²+ln3×lny

ln2²+ln2×lnx = (ln3)²+ln3× (lnx)(ln3)/ln2

-ln2 = lnx

=> 1/2

lny = (lnx)(ln3)/ln2 = 1/2ln3/ln2 = ln√3/2

lny = ln√3/2

hope that helps

## himanshu Jha ✌✌