Question

$\log (x{)}^n=n.\log x$ is true for

• A. $\forall n\in N$
• B. $\forall n\in Z$
• C. $n$ is positive odd integer
• D. $n$ is positive even integer

Answer 1

The correct option is A $\forall n\in N$

Since we know that ,

$\log x^n=n\log x$

So, for all $nϵR$but $x$ must be positive.