Help solve log equations

log(x+6)=1

3log2(x-1)+log2(4)=5

ln(x+1)-ln(x)=2

Thanks!!

i) x+6 = 10
x = 4

ii) log2[4(x-1)^3] = log2 [32]
(x-1)^3 = 8
x-1 = 2
x = 3

iii) ln [(x+1)/x] = 2
(x+1)/x = e^2
x+1 = x*e^2
x(e^2-1) = 1
x = 1/(e^2-1)

1)x=4
2)x=3
3)This one gets a bit strange.
exact solution: x=1/(e^2-1)
approx. solution: x=.156517...

1og10 100=2?