A culture of bacteria undergoes exponential growth according to the equation below, where t is given in hours, and the bacteria are measured in thousands y = 150 (3)¹ a) How much bacteria is present after 2 hours? b) When will there be 300 bacteria? Express your answer in terms of logarithms.
A culture of bacteria undergoes exponential growth according to the equation below, where t is given in hours, and the bacteria are measured in thousands y = 150 (3)¹ a) How much bacteria is present after 2 hours? b) When will there be 300 bacteria? Express your answer in terms of logarithms.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Exponential Growth of Bacteria**
A culture of bacteria undergoes exponential growth according to the equation below, where \( t \) is given in hours, and the bacteria are measured in thousands:
\[ y = 150 \left( 3 \right)^t \]
**Problem:**
a) How much bacteria is present after 2 hours?
b) When will there be 300 bacteria? Express your answer in terms of logarithms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2eecb7d0-8bcc-4f78-af92-649f07cebee3%2Fec679fdc-e463-4f9e-8498-6619300b38e0%2Fml6ej5r_processed.png&w=3840&q=75)
Transcribed Image Text:**Exponential Growth of Bacteria**
A culture of bacteria undergoes exponential growth according to the equation below, where \( t \) is given in hours, and the bacteria are measured in thousands:
\[ y = 150 \left( 3 \right)^t \]
**Problem:**
a) How much bacteria is present after 2 hours?
b) When will there be 300 bacteria? Express your answer in terms of logarithms.
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