If the median drawn on the base of a triangle is half its base, the traingle will be :

Find the value/values of x for the given equation. 

$2^{\left(2x+3\right)}-17=9\left(2^x-2\right)$

The population of Patna city is $96000$, the decreasing rate of population is $800$ per year. Population of Patliputra is $68000$, the increasing rate of population is $1200$ per year. In how many years will the population of both places be equal?

For what value of $p,$ the following pair of linear equations in two variables will have infinitely many solutions?

$$\begin{gathered} p x+3 y-(p-3)=0 \\ 12 x+p y-p=0 \end{gathered}$$