Julian and Skyler are performing a thought experiment. They are trying to figure out how long it would take to reach a million dollars if they were to start with just $5 and double their money every week. They solve the problem differently, as shown below:
Julian and Skyler are performing a thought experiment. They are trying to figure out how long it would take to reach a million dollars if they were to start with just $5 and double their money every week. They solve the problem differently, as shown below:
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:Julian and Skyler are performing a thought experiment. They are trying to figure out how long it
would take to reach a million dollars if they were to start with just $5 and double their money every
week. They solve the problem differently, as shown below:
Julian's Method
Skyler's Method:
52" 1000000
52" 1000000
log(5 2) = log(1000000)
22
=
200000
log(5) + w log(2)
=
6
w log(2) = log (200000)
6 - log(5)
W =
w =
log(200000)
log(2)
log(2)
w = 17.6096
W = 17.6096
Compare/contrast their methods. Which laws of exponents did each student use in their chosen
approach? Which method do you prefer? Justify your answer by explaining a benefit of your chosen
method or a drawback of the other method.
Your explanation should demonstrate specific knowledge about evaluating logarithms or about
logarithmic properties (For example, simply stating that someone's method is "easier," "faster," or
"shorter" is too vague).
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