1998 AMC 12 第 12 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
12.
若下式成立，则 有多少个不同的质因数？
How many different prime numbers are factors of if
答案：A
小提示：
从底数为 的最外层对数开始，逐层反向运算
Undo the logarithms one at a time, starting with base
大提示：
最后得到的 是 的幂
The final expression for is a power of
解答：
依次取幂得到 因此 是 唯一的质因数，正确答案是 A。
Successively exponentiating gives Thus is the only prime factor of so the correct answer is A.
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