given 2log10 x+1=log10 250
,
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2logx+1=log250
consider LHS,
log250=log(25×10)
=log25+log10
=log25 +1
comparing with RHS ie,
2logx+1=log25+1
ie,
2logx=log25
log {5}^{2} = log25log5
2
=log25
X=5
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