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5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: X log2 In +log3 n... logn n = 1 for all integers n > 1. log₂ 2 = 1 A. Find the value of f(2)= x2 that solves:

5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: X log2 In +log3 n... logn n = 1 for all integers n > 1. log₂ 2 = 1 A. Find the value of f(2)= x2 that solves:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Exponential Calculation A. The amount of algae in the petri dish of a mad scientist changes based on the following rules: (a) The amount of algae is modeled by exponential growth or decay depending on the time, starting with 3.1 grams. 0.1 (b) Every 2 days, the rate of change of the algae changes,, alternating between two modes: a(t+1) = 0.1a(n) where n is the day the change, and a(+1) a(t) Starting with the first. = = B. Find the amount after 7 days. 5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: I log2 In +log3 n... logn n = 1 for all integers n > 1. log₂ 2 = 1 A. Find the value of f(2)= x2 that solves:
Transcribed Image Text:4. Exponential Calculation A. The amount of algae in the petri dish of a mad scientist changes based on the following rules: (a) The amount of algae is modeled by exponential growth or decay depending on the time, starting with 3.1 grams. 0.1 (b) Every 2 days, the rate of change of the algae changes,, alternating between two modes: a(t+1) = 0.1a(n) where n is the day the change, and a(+1) a(t) Starting with the first. = = B. Find the amount after 7 days. 5. Suppose f(n) = xn is a function defined for all integers greater than 1 such that: I log2 In +log3 n... logn n = 1 for all integers n > 1. log₂ 2 = 1 A. Find the value of f(2)= x2 that solves:
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