48的x次方/24的y次方=96,则x+y=
问题描述：
48的x次方/24的y次方=96,则x+y=
答
48^x=(2^4*3)^x=2^(4x) *3^x
24^y =(2^3*3)^y=2^(3y)*3^y
96=(2^5*3)
=>2^(4x-3y)*3^(x-y)=2^5 * 3^1
=>4x-3y=5; x-y=1
=> x=2;y=1
=> x+y=3.ans