inequalities

Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: P P > T R < T If integers 1 through 5 are used to construct s...

Consider a five-digit number PQRST that has distinct digits P, Q, R, S and T, and satisfies the following conditions: $$ \begin{aligned} & P P > T \\ & R If integers 1 through 5 ar...

Let $a = 30!, b = 50!$, and $c = 100!$. Consider the following numbers: $\log_a c, \log_c a, \log_b a, \log_a b$ Which one of the following inequalities is CORRECT?

Let a = 30! , b = 50! , and c = 100! . Consider the following numbers: log a c, log c a, log b a, log a b Which one of the following inequalities is CORRECT?