若2^(2X+3)-2^(2X+1)=48,求X的值

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若2^(2X+3)-2^(2X+1)=48,求X的值
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若2^(2X+3)-2^(2X+1)=48,求X的值
若2^(2X+3)-2^(2X+1)=48,求X的值

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

1.5

设2^(2X+1)=Y
Y*2^2-Y=48
3Y=48
Y=16
2^(2X+1)=16
2X+1=4
X=3/2

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