Question

Given 2log10x+1 = log 250 ,
find :-
(1) x
(2)log 2x​

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

X=5