对于正整数a,b,c（a≤b≤c）和实数x,y,z,w,若a^x=b^y=c^z=70^w,且1/x+1/y+1/z=1/w,求a,b,c的值

x=log(a)70^w 1/x=log(70^w)a 1/x+1/y+1/z=1/w log(70^w)a+log(70^w)b+log(70^w)c=1/w log(70^w)abc=1/w wlog(70^w)abc=1 log(70^w)(abc)^w=1