The inequality is
.
Apply logarithm from each side.
\
Apply power property of logarithm:
.

Divide each side by p.
\

Divide each side by
.




Multiply each side by p.
\
Take out common factor p.
\

Divide each side by
.


CHECK:-
\ To check the solution, substitute
in
.



The inequality is true.
The solution set is
.