A certain strain of bacteria divides every 4 hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by t- log(N/50) log 2 Find the time required for the colony to grow to one million bacteria. (Round your answer to two decimal places.) t= hr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 25E
Question
A certain strain of bacteria divides every 4 hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the
colony to grow to N bacteria is given by
t = 4 log(N/50)
log 2
Find the time required for the colony to grow to one million bacteria. (Round your answer to two decimal places.)
t =
hr
Transcribed Image Text:A certain strain of bacteria divides every 4 hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by t = 4 log(N/50) log 2 Find the time required for the colony to grow to one million bacteria. (Round your answer to two decimal places.) t = hr
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