已知2的X方=3,log4的8/3=y,则x+2y的值为多少?详细求解.谢谢

已知2的X方=3,log4的8/3=y,则x+2y的值为多少?详细求解.谢谢

x=log2(3)
y=lg(8/3)/lg4
=lg(8/3)/2lg2
=1/2*log2(8/3)
所以x+2y=log2(3)+log2(8/3)
=log2(3×8/3)
=log2(8)
=log2(2³)
=3