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Course: Precalculus (Eureka Math/EngageNY)?>?Unit 3
Lesson 15: Topic C: Lessons 20-21: Inverse relationship of exponentials and logarithms- Relationship between exponentials & logarithms
- Relationship between exponentials & logarithms: graphs
- Relationship between exponentials & logarithms: tables
- Relationship between exponentials & logarithms
- Half-life and carbon dating
- Exponential model word problem: medication dissolve
- Exponential model word problem: bacteria growth
- Exponential model word problems
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Exponential model word problems
Problem
A culture of bacteria starts with bacteria and increases exponentially.
The relationship between , the number of bacteria in the culture, and , the elapsed time, in days, is modeled by the following equation.
In how many days will the number of bacteria in the culture reach ?
Give an exact answer expressed as a base-ten logarithm.
Give an exact answer expressed as a base-ten logarithm.