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(30!) 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...
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(30!) 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...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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Need help with these two Intro to Elementary Number Theory Homework problems.
![Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e
In(12p))
e
f(p")
=
Ρ
where In is the natural logarithm function. Compute f(30!) 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...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F988321fe-2fa3-453d-a72b-be5ece348fb5%2Fafd6703a-9ca8-4267-be03-9736977e32b8%2Fwvlw04_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that f(n) is a multiplicative function such that for any positive prime integer p and positive integer e
In(12p))
e
f(p")
=
Ρ
where In is the natural logarithm function. Compute f(30!) 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...
![Consider the function
(the sum is taken over all positive divisors d of n). For example, if n = 6
f(n) = Σσ(α),
dn
(d)o(1)+(2) +σ(3) +σ(6) = 20.
Compute f(13³.312²).
Type your answer...
d|6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F988321fe-2fa3-453d-a72b-be5ece348fb5%2Fafd6703a-9ca8-4267-be03-9736977e32b8%2Fdeyeoc_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function
(the sum is taken over all positive divisors d of n). For example, if n = 6
f(n) = Σσ(α),
dn
(d)o(1)+(2) +σ(3) +σ(6) = 20.
Compute f(13³.312²).
Type your answer...
d|6
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