(a^2×b^3)×(a^5×b^-2)^0÷(a^4×b^3)^2
=(a^2b^3)(a^5b^-2)^0/(a^4b^3)^2
=a^2b^3*1/(a^4b^3)^2
=a^2b^3/a^8b^6
=a^(-6)b^(-3)
lgX+lgy=2lg(X-2Y)
则lgxy=lg(x-2y)^2
则xy=(x-2y)^2,
得(x-y)(x-4y)=0
所以x=y,或者x=4y
所以log根号2X/Y=log根号2(1)=0
或者log根号2(X/Y)=log根号2(4)=4
1<X<d
则0