For the following proposed identities enter T if they are true, and F if they are false.

$e^{\ln(x-1)} = x-1.$
$e^{(\ln x) -1 } = \frac{x}{e}.$
$\ln((x-1)(x-2)) = \ln(x-1) + \ln(x-2).$
$\ln x^2 = 2 \ln x.$