Show Work 1

Show Work 1

Step 1

`2^256 = 10^x`

Step 2

`log_2(2^256) = log_2(10^x)`

Step 3

`256 log_2(2) = x log_2(10)`

Step 4

`256(1) = x log_2(2 * 5)`

Step 5

`256 = x (log_2(2) + log_2(5))`

Step 6

`256 = x (1 + log_2(5))`

Step 7

`256 / (1 + log_2(5)) = x`

Step 8

`256 / (1 + log(5)/log(2)) = x`

Step 9

0.69897000433601880478626110527551

0.30102999566398119521373889472449

2.3219280948873623478703194294894

`x = 77.06367888997918597471715704947`

Number of atoms in the known universe

`10^78`

`10^82`