若2^(2X+3)-2^(2X+1)=48,求X的值

问题描述:

若2^(2X+3)-2^(2X+1)=48,求X的值

2^(2x+3)-2^(2x+1)=[2^(2x+1)]*(2^2-1)
=[2^(2x+1)]*3=48
2^(2x+1)=16=2^4
2x+1=4
2x=3
x=3/2