I think the correct given number is 212 base 3 and we are asked to convert this number into base 2.
We should recall that a number let us say X with a base of Y can also be written as:
X base Y = log X / log Y
Therefore in this case, the new number base should be equal to the initial number base. That is:
log 212 / log 3 = log X / log 2
So let us find for X:
log X = (log 212 / log 3) * log 2
X = 10 ^ [(log 212 / log 3) * log 2]
X = 10 ^ (1.467754511
X = 29.36
Therefore the new form would be:
29.36 base 2
