Question

let f be a function defined on set of all positive integers such that f(xy)=f(x)+f(y) for all positive integers x,y. If f(12)=24 & f(8)=15. Find value of f(48)

Answer 1

Let , x =2 , y =2

f(4) = f(2) + f (2)

f(4) = 2f(2)

f(2*4) = f(2)+f(4)

15 = 3 f(2)

f(2) = 5

so,f(4) = 2*5 = 10

f(48) = f(12 * 4 ) = f(12) +f(4)

                          = 24 + 10 = 34

hope this helps

IF U LIKE MY ANSWER , PLEASE MARK IT AS THE BRAINLIEST ONE

Answer 2

Answer:

Let , x =2 , y =2

f(4) = f(2) + f (2)

f(4) = 2f(2)

f(2*4) = f(2)+f(4)

15 = 3 f(2)

f(2) = 5

so,f(4) = 2*5 = 10

∴ f(48) = f(12 * 4 ) = f(12) +f(4)

  ⇒24 + 10 = 34

please mark it as brainliest