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I don't understand how they've done it. I realise I can plot this, but what is the logic.

As a graph, I drew ln(-x) first, then added 3, so move left by 3 but that was not correct

I can see they've added 3 first, move left 3. Then they minus 1 times x. Or have they done it another way?

Why wasn't the first one correct, it makes sense to me

I also tried another approach which was ln(-(x-3)) so I first drew ln(x-3), and then I minus 1 times x, so I flipped it against the y axis. That also did not work, what is wrong with the logic on this one as well?