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25X次方=2000,80Y次方=2000求；X＋Y-X*Y=?
题目详情
25X次方=2000 ,80Y次方=2000求；X＋Y-X*Y=?
▼优质解答
答案和解析
25X次方=2000 两边除以25
得25^x-1=80
代入80Y次方=2000
得25^xy-y=2000
25^x=2000
除
得25^x+y-xy=1
X＋Y-X*Y=0
得25^x-1=80
代入80Y次方=2000
得25^xy-y=2000
25^x=2000
除
得25^x+y-xy=1
X＋Y-X*Y=0
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