an experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour

Respuesta :

Answer:

about 6 hours

Step-by-step explanation:

[tex]8( {7}^{x} ) = 2( {10}^{6} )[/tex]

[tex] {7}^{x} = 250000[/tex]

[tex]x = \frac{ ln(250000) }{ ln(7) } = 6.39[/tex]

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