Question

log x + log (x+1) = 2​

Answer 1

Step-by-step explanation:

log(x)-log(x-1)=2

log(x/(x-1))=2

10^2=x/(x-1)

100(x-1)=x

99x=100

x=100/99 <---- Answer

Answer 2

x=(-1+√401)/२ & (-1-√401)/2 Step-by-step explanation:

Answer is,

=log(x(x+1))=2

=log(x(x+1))/log 10=2

=log(x(x+1))=2log 10

=x(x+1)=100

=x^2+x-100=0

=x=(-1+√401)/२ & (-1-√401)/२