10^x=2,10^y=3,求100^2x-(1/4y)的值_其他解答

10^x=2,10^y=3,求100^2x-(1/4y)的值

人气：227 ℃　时间：2020-02-05 02:19:03

解答

100^[2x-(1/4)y]
= 10^[4x-(1/2)y]
= 10^(4x) / 10^[(1/2)y]
= (10^x)^4 / (10^y)^(1/2)
= 2^4 / 3^(1/2)
= 16 / √3
= (16/3)√3