Question

已知4m的次方*8m减1的次方除以2m的次方＝32,求m的值.

Answer 1

4^m*8^(m-1)÷2^m=32

(2^2)^m*(2^3)^(m-1)÷2^m=32

2^2m*2^(3m-3)÷2^m=32

2^(2m+3m-3-m)=2^5

2m+3m-3-m=5

m=2