3的x次方=4.3的y次方是6.求9的2x-y等于几

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3的x次方=4.3的y次方是6.求9的2x-y等于几
3的x次方=4.3的y次方是6.求9的2x-y等于几

3的x次方=4.3的y次方是6.求9的2x-y等于几
3^(4x-2y)=
3^x=4
3^y=6
log3(4)=x
y=log3(6)=y
4x=4log3(4)
-2y=-2log3(6)
3^(4x-2y)=4^[4log3(4)-2log3(6)]
=4^[log3(256)/(36)]
=4^[2log3(8/3)
=16^[log3(8/3)]