Microblog: A very long article Wikipedia article on the orientation of toilet paper [Jun 7th, 22:52] [R]

## Tuesday, December 2nd, 2014

Categories: [ Science ]

Let's consider base 10 logarithms and the basic equality
```log(a×b) = log(a) + log(b)
```
Rounding to two places after the decimal separator, we also start with
```log(2) = 0.30
```
and
```log(10) = 1
```
Therefore, we have
```log(4) = 2⋅log(2) = 0.60
```
and
```log(8) = 3⋅log(2) = 0.90
```
Also,
```log(10) = log(2) + log(5) = 1
```
therefore
```log(5) = 0.70
```
Then a bit more approximation: 81 ≈ 80, therefore
```2⋅log(9) ≈ log(10) + log(8)
```
This gives us
```log(9) ≈ 0.95
```
and
```log(3) = log(9)/2 = 0.48
```
as well as
```log(6) = log(2) + log(3) = 0.78
```
In the same way, 50 ≈ 49, therefore
```log(5) + log(10) ≈ 2⋅log(7)
```
in other words,
```log(7) ≈ 0.85
```

With more approximations, one will find the logs of more prime numbers without the need for a calculator.

[ Posted on December 2nd, 2014 at 00:02 | no comment | ]