Question

given 2log10 x+1=log10 250
,​

Answer 1

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