Answer:
There will be 64 cells in 6 hours. It will take 10 hours for there to be 1,024 cells.
Step-by-step explanation:
For this question, we need to think exponents. When the cell splits, two cells arise, then 4, then 8, and so on. Each time, the count doubles, so 2 will be the base, with 6 being the exponent due to 6 hours having elapsed.
Expression: [tex]2^6=x\\64=x[/tex]
Using our equation will be a lot more useful for the second part of the question. We'll still use 2 as the base, but we're using x as the exponent (x represents the amount of hours it takes to reach y cells, which in this problem is 1,024):
[tex]2^{x} =1,024\\log_{2}1,024=x\\ 10=x\\or\\2^x=2^10\\x=10[/tex]
