Maybe this will be something in a "teach you how to fish" vein:
You can (obviously) get all the keys of %hash1 with keys %hash1, and all the values with values %hash1.

Now, each of those values is, itself, a hash reference, and you can get the keys of any reference by doing keys %{$reference} (or similarly with values). In fact, you can operate on %{$reference} exactly like you would on any other hash. (The braces are optional when the reference is a simple scalar variable.)

If you want to get all the "logn" type keys out of your %hash1, you could do it something like this:

my @h1_inners = ();
for my $ref (values %hash1) {
    push(@h1_inners, keys %$ref);
}
[download]

and similarly for %hash2. I don't really understand your explanation of your goal, so I have to bug out here, but I hope this helps.