Question

it is suppose to be log c
but it is given as 2logc why??​

Answer 1

$2 \frac{dx}{x} \\ on \: integration \\ 2( log(x) + log(c) ) \\ 2 log(x) + 2 log(c)$

Further

$2 \frac{dx}{x} \\ on \: integration \\ 2( log(x) + log(c) ) \\ 2 log(x) + 2 log(c) \\ in \: the \: above \: soln \: logc \: or \: 2logc \\ doesnt \: make \: any \: change \\ since \: it \: is \: an \: unknown \: constant$

hope it helps.