A population of bacteria is growing according to the equation P ( t ) = 1050e^0.16t .
1 answer:
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For this case we must find an expression equivalent to:
So:
We expanded by moving 2 out of the logarithm:
By definition of logarithm properties we have to:
The logarithm of a product is equal to the sum of the logarithms of each factor:
The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.
Then, rewriting the expression:
We apply distributive property:
Answer:
An equivalent expression is: