The function $f(x)=\int\limits_0^x \frac{d t}{t}$ satisfies
Answer & explanation
Correct answer: option 3
$f(x)=\int\limits_0^x \frac{d t}{t}=\log x$
$\Rightarrow f(x y)=\log (x y)=\log x+\log y=f(x)+f(y)$
Hence (3) is the correct answer.
The function $f(x)=\int\limits_0^x \frac{d t}{t}$ satisfies
Correct answer: option 3
$f(x)=\int\limits_0^x \frac{d t}{t}=\log x$
$\Rightarrow f(x y)=\log (x y)=\log x+\log y=f(x)+f(y)$
Hence (3) is the correct answer.