Question

已知25的m次方等于2000,8的n次方等于2000,求m分之一加n分之一的和?

Answer 1

答案 ：(2 + lg2 / (3 + lg2)25^m = 20008^n = 20002000^(1/m) = 25 2000^(1/n) = 8 2000^(1/m + 1/n) = 25 * 8 = 200 1/m + 1/n = lg200 / lg2000= lg(2*100) / lg(2*1000)= (2 + lg2 / (3 + lg2)