A bacteria cell splits into two cells every hour. Write and evaluate an exponential expression to find how many cells there will be in six hours. Then use your answers to help you find the number of hours it will take for there to be 1024 cells.
1 answer:
Easy equation is f(x)=2ˣ where x=number of hours elapsed after 6 hours f(6)=2⁶=64 bacteria to solve for 1024 1024=2ˣ take ln of both sides ln(1024)=ln(2ˣ) ln(1024)=x(ln(2)) divide both sides by ln(2) ln(1024)/ln(2)=x using calculator 10=x or you could recognize that 1024=2¹⁰ or keep divising 1024 by 2 10 hours for 1024 bacteria
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