Thus we have
........now we solve for
Take log to the base 2 of both sides, we obtain
...not much thinking required there. remember what the definition of a logarithm is, i've stated it several times on this forum, do a search for it if you wish. for the sake of completeness we will show it more explicitly
2. Find log2(8).
Equating coefficients we get:
after 3 hours we have 8 million bacteria.What does your result mean in terms of the bacterium?
do you see why?