Question

How do you solve `log(x-1)-log(x)=-1` ?

Answer 1

`x=10/9=1 1/9`

Explanation:

As `log(x-1)-logx=-1`

therefore `log((x-1)/x)=-1`

i.e. `(x-1)/x=10^(-1)=1/10`

or `10x-10=x`

or `9x=10`

i.e. `x=10/9=1 1/9`