以10为底5的对数的平方+以10为底2的对数×l以10为底50的对数

---

lg5*lg5+lg2*lg50
=lg5*lg5 + lg2*lg(2×25)
=lg5*lg5 + lg2*lg2 + lg2*lg25
=lg5*lg5 + lg2*lg2 + lg2*lg(5²)
=lg5*lg5 + lg2*lg2 + 2lg2*lg5
（镇圆注意到了吗？这御竖塌是a²+2ab+b²的形式。）纤晌
=(lg5+lg2)²
=[lg(5×2)]²
=1²
=1

---