Cell division

At the end we could have something simpler and a bit (at least mathematically) more fun...

At the beginning there was nothing... But no, here we have at the beginning one single cell. This cell is not just any ordinary cell, it is special, because there is a mathematical problem about it – and therefore it divides specially – always into eight identical cells, and these can then again divide into eight identical cells (from one we have after division eight) – but beware, always all cells divide at once. ..
Is it possible that at one moment exactly 2010 cells exist?

And no, we are really not going to consider any short moment during the division of the cells. If the cells always divide every three hours, after how many hours from the first division would such a state – 2010 existing cells (but only if possible) occur?

Final Answer:

x =  0
t =  10.973 h

Step-by-step explanation:

 8n  = 2010 n=ln2010/ln83.6577  x=0
t=3 n=3 3.6577=10.973 h



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