已只2的X次方=3,log以4为底8\3为对数＝y,求x+2y

已只2的X次方=3,log以4为底8\3为对数＝y,求x+2y
已只2的X次方=3,log以4为底8\3为对数＝y,求x+2y

已只2的X次方=3,log以4为底8\3为对数＝y,求x+2y
2^x=3
则x=log2(3)
y=log4(8/3)=lg(8/3)/lg4
=lg(8/3)/2lg2
所以2y==lg(8/3)/lg2=log2(8/3)
所以x+2y
=log2(3)+log2(8/3)
=log2(3×8/3)
=log2(8)
=3

2^x=3
x=log2(3)
log4(8/3)=y
y=log2(8/3)/log2(4)=(log2(8)-log2(3))/2=(3-x)/2
即2y=3-x
x+2y=3

2^x=3
x=log2 3
log4 8/3=y
(1/2)log2 8/3 =y
2y=log2 8/3
x+2y=log2 3+log2 8/3=log2 8=3