Need help with this difficult Intro to Elementary Number Theory Homework problem. Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer ef(p³) = (In(12p))).ewhere In is the natural logarithm function. Compute f(36!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with itsfactorization). Round to two decimal places.Type your answer...

Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e f(p®) = (In(12p)))". where In is the natural logarithm function. Compute f(36!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its factorization). Round to two decimal places.

Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e f(p®) = (In(12p)))". where In is the natural logarithm function. Compute f(36!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its factorization). Round to two decimal places.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Need help with this difficult Intro to Elementary Number Theory Homework problem.

Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e
f(p³) = (In(12p))).
e
where In is the natural logarithm function. Compute f(36!) using this information (notice the factorial! and refer to an earlier assignment for the formula helping with its
factorization). Round to two decimal places.
Type your answer...

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Step 1: Write the given information.

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Step 2: Compute the prime factorization of 36!.

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Step 3: Compute f(p^e) for each prime power.

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Step 4: Compute the value of f(36!) using the f(p^e) for each prime power.

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Solution

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