List of top Mathematics Questions on Logarithms

If \( a, b, c \) are positive real numbers each distinct from unity, then the value of the determinant \[ \left| \begin{matrix} 1 & \log_a b & \log_a c \\ \log_b a & 1 & \log_b c \\ \log_c a & \log_c b & 1 \end{matrix} \right| \] is:

Consider the function f(x) = (x−2)logx. Then the equation xlogx = 2−x has: