Question

已知5的m+1次幂乘2的m次幂-5的m次幂乘2的m+1次幂等于4乘以25乘3.求m的值

Answer 1

5^(m+1)x2^m-5^mx2^(m+1)=4x25x3

5^mx2^m*(5-2)=4x25x3

3*5^m*2^m=3x4x25

5^m*2^m=(2x5)^2

(5*2)^m=(2x5)^2

m=2