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Algebra 2

Unit 8: Lesson 6

Solving exponential models

Exponential model word problems

Problem

A culture of bacteria starts with 50 bacteria and increases exponentially.
The relationship between B, the number of bacteria in the culture, and d, the elapsed time, in days, is modeled by the following equation.
$B=50\cdot 10\^{{\frac{d}2}}$
In how many days will the number of bacteria in the culture reach 800, comma, 000?
Give an exact answer expressed as a base-ten logarithm.
days
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