Question

已知二的二x加三次方减去二的二x加一次方等于96,求x的值

Answer 1

二的二x加三次方减去二的二x加一次方等于96
2^(2x+3)-2^(2x+1)=96
2²*2^(2x+1)-2^(2x+1)=96
2^(2x+1)*(2²-1)=96
2^(2x+1)*(4-1)=96
2^(2x+1)*3=96
2^(2x+1)=32
2^(2x+1)=2^5
2x+1=5
2x=4
x=2