已知2^x=4^y+1,27^x=3^x-1,求x-y的值

已知2^x=4^y+1,27^x=3^x-1,求x-y的值
已知2^x=4^y+1,27^x=3^x-1,求x-y的值

已知2^x=4^y+1,27^x=3^x-1,求x-y的值
2^x=4^y+1=2^(2y+2)
x=2y+2
又 27^x=3^x-1
3^3x=3^x-1
3x=x-1
x=-1/2 y=-5/4
x-y=-1/2-(-5/4)=3/4

2^x=4^y+1=2^(2y+2)
x=2y+2
又 27^x=3^x-1
3^3x=3^x-1
3x=x-1
x=-1/2 y=-5/4
x-y=-1/2-(-5/4)=3/4