Time (h) 14 29 48 74 104 148 Percent of 90 80 70 60 50 40 Substance (%) These data may be represented by an logarithmic regression function of the form P = a+b• ln t. %3D where Prepresents the percent of substance remaining after t hours. How many hours, to the nearest hour, will there be only one quarter of the original sample remaining.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.CR: Chapter Review
Problem 18E
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Logarithm functions 

A research lab recorded the decay of a radioactive substance. The data table shows
the amount of the substance remaining.
Time (h)
14
29
48
74
104
148
Percent of
90
80
60
50
40
Substance (%)
These data may be represented by an logarithmic regression function of the form
P = a+b· In t.
where Prepresents the percent of substance remaining after thours.
How many hours, to the nearest hour, will there be only one quarter of the original
sample remaining.
70
Transcribed Image Text:A research lab recorded the decay of a radioactive substance. The data table shows the amount of the substance remaining. Time (h) 14 29 48 74 104 148 Percent of 90 80 60 50 40 Substance (%) These data may be represented by an logarithmic regression function of the form P = a+b· In t. where Prepresents the percent of substance remaining after thours. How many hours, to the nearest hour, will there be only one quarter of the original sample remaining. 70
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