The least value of the expression 2 log10 (x) - logx (0.01), for x > 1 is
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2log10x−logx0.01 ; when x>1
2log10x+2logx10
As x>1, log10x>0
AM≥GM
2log10x+2logx102≥2log10x+2logx10−−−−−−−−−−−−−−√
2log10x−2logx10≥4
Therefore, minimum = 4
Answer = 4
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