Question

How do you solve for x?: log(x) - log(x-3)=-1

Answer 1

The equation represents an impossible situation; there is no solution for `x`

Explanation:

`log(x)` and `log(x-3)` are only meaningful if `x > 0` and `(x-3) > 0`

Therefore
`color(white)("XXX")x > (x-3)`
and
`color(white)("XXX")log(x) > log(x-3)`

`rArr log(x) - log(x-3) > 0`

Therefore `log(x) - log(x-3)` can not be `= -1`