诺log2[log1/2(log2x)]=log3[log1/3(log3y)]=比log5[log1/5(log5z)]=o,较x,y,z大小关于2,3,5,1/2,1/3,1/5,都是下标,因为不会打.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 09:52:49
诺log2[log1/2(log2x)]=log3[log1/3(log3y)]=比log5[log1/5(log5z)]=o,较x,y,z大小关于2,3,5,1/2,1/3,1/5,都是下标,因为不会打.

诺log2[log1/2(log2x)]=log3[log1/3(log3y)]=比log5[log1/5(log5z)]=o,较x,y,z大小关于2,3,5,1/2,1/3,1/5,都是下标,因为不会打.
诺log2[log1/2(log2x)]=log3[log1/3(log3y)]=比log5[log1/5(log5z)]=o,较x,y,z大小
关于2,3,5,1/2,1/3,1/5,都是下标,因为不会打.

诺log2[log1/2(log2x)]=log3[log1/3(log3y)]=比log5[log1/5(log5z)]=o,较x,y,z大小关于2,3,5,1/2,1/3,1/5,都是下标,因为不会打.
log2[log1/2(log2x)]=0=log2(1)
log1/2(log2x)=1=log1/2(1/2)
log2(x)=1/2
x=2^(1/2)
log3[log1/3(log3y)]=0
log1/3(log3y)=1
log3(y)=1/3
y=3^(1/3)
x^6=2^3=8
y^6=3^2=9
所以y>x
log5[log1/5(log5z)]=o
log1/5(log5z)=1
log5(z)=1/5
z=5^(1/5)
x^10=2^5=32
z^10=5^2=25
所以x>z
所以y>x>z