math question, please help

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The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms.

How long will it take for the population of the bacteria to reach 800?

Round your answer to the nearest tenth of an hour.

can you also explain it plz? you don't have to, but it'd help.

flanspawn Oct 30, 2018

Guest · Answer 1 · 2018-10-30T08:20:52

800 = 500 x 2^n divide both sides by 500
1.6 = 2^n take the log of both sides
n =Log(1.6) / log(2)
n=0.678 x 24 =16.274 hours