Answered: y 100 90 80 P(x) = 95 - 30 log2 x 70 60…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 56E

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The function P(x) = 95 - 30 log₂ x models the percentage,P(x), of students who could recall the important features of a classroom lecture as a function of time, where x represents the number of days that have elapsed since the lecture was given. The figure shows the graphof the function.After how many days do only half the students recall the important features of the classroom lecture? Let P(x) = 50 and solve for x. Locate the point on the graph that conveys this information.Round answers.to one decimal place.

y
100
90
80
P(x) = 95 - 30 log2 x
70
60
50
40 -
30
20
10
1 2 3 4 567 89 10
Days after Lecture
Percentage Remembering
the Lecture

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