Question

How do you solve `ln(x+12) - ln(x-2)=ln(x+1)-ln(x+11)`?

Answer 1

`"No solution"`

Explanation:

`=> ln(x+12)+ln(x+11)=ln(x-2)+ln(x+1)`
`=> ln((x+12)(x+11)) = ln((x-2)(x+1))`
`=> ln(x^2+23 x+132) = ln(x^2-x-2)`
`=> cancel(x^2) + 23 x + 132 = cancel(x^2) - x - 2`
`=> 23 x + 132 = - x - 2`
`=> 24 x = -134`
`=> x = -134/24`
`=> x = -67/12`
`=> "No solution as x must be > 2 to be in the domain of all ln(.)"`