The correct answer is (C): \(⇒ 2x = \)2log53
\(⇒ x =\) log53
\(⇒ x =\) log5 3*5/5
\(⇒ x =\) log55+log53/5
\(⇒ x = \)1+log5 3/5
Consider two distinct positive numbers \( m, n \) with \( m > n \). Let \[ x = n^{\log_n m}, \quad y = m^{\log_m n}. \] The relation between \( x \) and \( y \) is -
If \[ \log_{p^{1/2}} y \times \log_{y^{1/2}} p = 16, \] then find the value of the given expression.