Let `f` be a funcation defined on the set of all positive integers such that `f (x) +f(y) ` for all postive integers x,y,if f (12) =24 and f(8) =15 the value of f(48) isA. 31B. 32C. 33D. 34

Let `f` be a funcation defined on the set of all positive integers suc

1.	Let `f` be a funcation defined on the set of all positive integers such that `f (x) +f(y) ` for all postive integers x,y,if f (12) =24 and f(8) =15 the value of f(48) isA. 31B. 32C. 33D. 34
Answer» Correct Answer - d f (x y) = f(x) +f(y) f(x) =`log_(a)x` so , f(12) =24 `Rightarrow log_(a) 12=24` `Rightarrow 12 = a^(24)& f(8)=15` `Rightarrow log_(a) 8 =15` `Rightarrow 8=a^(15) Rightarrow 2=a^(5) ` So, f(48) = `log_(a)48=log_(a) 12 + log_(a)4` `log_(a)12 + log_(a)2^(2)` 24+2.5 34

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Let `f` be a funcation defined on the set of all positive integers such that `f (x) +f(y) ` for all postive integers x,y,if f (12) =24 and f(8) =15 the value of f(48) isA. 31B. 32C. 33D. 34

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