dtan5457
  • dtan5457
Let f(n) be the function that assigns to each integer greater than 1 the sum of its distinct prime factors. For example, since 2 and 5 are the only prime factors of 20, f(20)=7, and since 5 is the only prime factor of 25, f(25)=5. Which of the following statements are true? f(2n)=f(n) f(2n)=f(n)+2 f(2n)=2f(n)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Empty
  • Empty
for the first one let n=3. for the second one let n=2. for the third one let n = 15.
danica518
  • danica518
f(2n)=f(n)+2
danica518
  • danica518
i am new to os, are we allowed to give out answers

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Empty
  • Empty
Right, so if n=2 then we have: f(4)=f(2)+2 which evaluates to 2=2+2 So true or false?
ganeshie8
  • ganeshie8
f(ab) = f(a)+f(b) whenever gcd(a,b)=1
ganeshie8
  • ganeshie8
so we may say f(2n) = f(2) + f(n) whenever n is odd
ganeshie8
  • ganeshie8
wait a second, i think i have interpreted the question incorrectly it is about "adding the distinct prime factors", not just number of distinct primes
ganeshie8
  • ganeshie8
I think it shouldn't matter either way since both are logarithm alike !

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