请教一道数学题(英文叙述的)Using indirect reasoning to prove that 以2为底5的对数 is an irrational number

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请教一道数学题(英文叙述的)Using indirect reasoning to prove that 以2为底5的对数 is an irrational number
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请教一道数学题(英文叙述的)Using indirect reasoning to prove that 以2为底5的对数 is an irrational number
请教一道数学题(英文叙述的)
Using indirect reasoning to prove that 以2为底5的对数 is an irrational number

请教一道数学题(英文叙述的)Using indirect reasoning to prove that 以2为底5的对数 is an irrational number
若log(5,2)=m/n (m,n是整数)
则5=2^(m/n)=〉5^n=2^m,但5^n是奇数,2^m是偶数,矛盾

使用间接推理证明 以2为底5的对数是一个无理数