方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）A.(0,1/6)B.(1/6,1/3)C.(1/3,1/2)D.(1/2,1)

方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）A.(0,1/6)B.(1/6,1/3)C.(1/3,1/2)D.(1/2,1)
方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）
方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）
A.(0,1/6)
B.(1/6,1/3)
C.(1/3,1/2)
D.(1/2,1)

方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）方程(1/2)^x=x^(1/3)有解x,则X0∈（ ）A.(0,1/6)B.(1/6,1/3)C.(1/3,1/2)D.(1/2,1)
两边同时取对数得xln(1/2) = (1/3)lnx ==> -xln2 = lnx/3
==>3ln2 = -lnx/x = (1/x)ln(1/x)
令y = 1/x则ylny = 3ln2,当y>1时显然ylny随着y的增大而增大,为单调递增函数,当y=2时,ylny = 2ln2 < 3ln2,当y=3时,ylny = 3ln3 >3ln2,结合单调性可知2