Question

2. If f(x) = log x, show that f(ab) = f(a) + f(b)​​

Answer 1

Answer:

f(x)=log(x)

f(ab) = log(ab) =log(a)+log(b) (By theorem)

= f(a) +f(b)

f(ab)=f(a)+f(b)

Hence , proved

Answer 2

if f(x)=log x

then f(a)=log a

f(b)=log b

log a + log b = log ab

so by substitution ,

f(ab)= f(a) + f(b)