Question

若2的m+1次方乘以8的m-1次方=4的m次方.求m值

Answer 1

8^(m-1)（即8的m-1次方）=2^(3m-3)

4^m=2^(2m)

2^(m+1)×8^(m-1)=2^[(m+1)+(3m-3)]

即2^[(m+1)+(3m-3)]＝2^(2m)

所以,(m+1)+(3m-3)＝2m

4m－2＝2m

2m＝2

m＝1