The amount of time that is taken for the population to reach 1,000,000 will be 17.27.
What is an exponent?
The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The growth of a bacteria population is modeled by the equation given below.
[tex]\rm p(h) = 1,000 \times e^{(0.4h)}[/tex]
Then we have
Then the amount of time which is taken for the population to reach 1,000,000 will be
[tex]\rm 1,000,000 = 1,000 \times e^{(0.4h)}\\\\1000 = e^{0.4h}[/tex]
Taking log on both sides, then we have
ln 1000 = 0.4 x h x ln e
6.91 = 0.4 x h
h = 17.27
More about the exponent link is given below.
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