What is the difference between (lgx) 2 and lgx2,

What is the difference between (lgx) 2 and lgx2,


(lgx)2=（lgx）×（lgx）
But lgx2 = (lgx) + (lgx)
totally different



Solution set of equation lgx2-lgx = 0


lgx²-lgx=0
lg(x²/x)=0
lgx=0
x=1



lgx+lgx^2+…… +Lgx ^ n = n ^ 2 + N, then =?


lgx+lgx^2+…… +lgx^n=（1+2+…… n)lgx=(1/2)n(n+1)lgx=n^2+n
lgx=2
x=100

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