Respuesta :

Answer:

66.44

Step-by-step explanation:

66.44 minutes will it take for the culture to achieve 10,000 bacteria.

What is logarithm?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x

Given

B(t)=[tex]100.2^{\frac{t}{10} }[/tex] = 10000

[tex]2^{\frac{t}{10} } = 100\\t = 100\frac{ln 10}{ln 2} = 66.44[/tex]

To know more about logarithm refer to :

https://brainly.com/question/2411204

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