>>1393738632 is just 1 x 2 x 2 x 2 x 2 x 2, so log base 2 of 32 is 5.
Or an estimate of log200 would be just over 2, since 1 x 10 x 10 is 100, while 1 x 10 x 10 x 10 is 1,000, which is farther off.
You can also see that 0 is out of range (the only way you can multiply and get zero is to do it by zero), and that, for any non-negative base, negatives are also out.
Log rules also naturally follow. Since logarithms are a count of how much you multiply, when adding to a log you need to multiply the inside by the base that number of times.
So logx + 2 = log(x *10 * 10) = log(x / 10) + 3.
And, since logy is simply the number of times you need to multiply by 10 to get y, logx + logy = log(x * y)
>>13937463I can't tell if this is sarcasm, but that's really it. I guess partial multiplication is confusing, but remember that the square root is a "half multiplication" so we've all seen them before.
Partial multiplication is also not really related to the construct of a logarithm.
