Problem

If the population growth (P) of a sample of bacteria, after $x$ days is expressed as a function $P(x)=4 * 4^{x}$. What is the population of bacteria after 3 days?

Answer

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Answer

\(\boxed{The population of bacteria after 3 days is 256}\)

Steps

Step 1 :Given the function for population growth: \(P(x) = 4 * 4^{x}\)

Step 2 :We need to find the population after 3 days, so we need to find \(P(3)\)

Step 3 :\(P(3) = 4 * 4^{3}\)

Step 4 :\(P(3) = 4 * 64\)

Step 5 :\(P(3) = 256\)

Step 6 :\(\boxed{The population of bacteria after 3 days is 256}\)

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