数学吧 关注:902,642贴子:8,796,439
  • 10回复贴,共1

题目求解。。求大神

只看楼主收藏回复

a) Find, as natural logarithms, the solutions of the equation
e^2x - 8e^x + 15 = 0 (这题会做 下面不会)
b) use proof by contradiction to prove that log2(小2)3(真数) is irrational.


1楼2012-10-08 05:10回复
    跪了 求翻译


    来自手机贴吧2楼2012-10-08 05:29
    收起回复
      广告
      立即查看
      什么乱七八糟的翻译


      IP属地:上海3楼2012-10-08 06:04
      收起回复
        若 log(2,3) 为有理数,则 2^(p/q)=3
        其中 p,q 为整数,且互质,两边同时取 q 次方
        则 2^p=3^q
        然而左边为偶数,右边为奇数,矛盾。
        故 log(2,3) 是无理数。


        IP属地:上海4楼2012-10-08 06:12
        收起回复
          if log_2(3)is rational,then 2^(p/q)=3 (p,q are integers and prime respective)
          q
          times both sides, 2^p=3^q, but the left hand side is even and right hand side is odd, contracdition!


          本楼含有高级字体5楼2012-10-08 06:33
          收起回复