In the answers, it says these two don't have any solutions. I don't understand how, though.

log(v-2) = 1 +log(v+2)

and

2 + logx = log(x-9)

For the first one, I did:

log(v-2/v+2) = 1

v-2/v+2 = 10

v-2 = 10v + 20

0 = 9v + 22

So I didn't get no solution. I don't know if this is right, though.

For the second one, I did:

2 = log(x-9) - logx

2 = log(x-9/x)

100 = x-9/x

100x = x-9

99x = -9

Same thing with this one.