已知log3(x-2y)+log3(x+2y)=1+log3x+log3y,求log2x-log2y的值
问题描述:
已知log3(x-2y)+log3(x+2y)=1+log3x+log3y,求log2x-log2y的值
答
log3(x-2y)+log3(x+2y)=1+log3x+log3y,求log2x-log2y的值log3(x-2y)(x+2y)=log3(3)+log3x+log3ylog3x^2-4y^2=log3(3xy)x^2-4y^2=3xy(x-4y)(x+y)=0x1=4y x2=-y(拾去)log2x-log2y=log2(x/y)=log2(x/4x)=2...