Identifying the Unique Solution
To find the value of p for which the equation $p*2^x+2^{-x}=5$ has a unique solution, we need to determine the conditions under which the equation has only one solution.

Key Pointers:
- The given equation is a quadratic equation in terms of $2^x$.
- For a quadratic equation to have a unique solution, the discriminant must be equal to zero.
- The discriminant of a quadratic equation $ax^2+bx+c=0$ is given by $b^2-4ac$.

Calculating the Discriminant
In the given equation $p*2^x+2^{-x}=5$, we can rewrite it as $p*2^x+1/2^{x}=5$.
Comparing this equation with the general form of a quadratic equation, we have:
- $a=p$, $b=1$, $c=-5$.
The discriminant of the equation is:
$1^2-4*p*(-5)=1+20p$.

Ensuring a Unique Solution
For the equation to have a unique solution, the discriminant must be equal to zero. Thus, we have:
$1+20p=0$.
Solving for p, we get:
$p=-1/20$.
Therefore, the value of p for which the equation $p*2^x+2^{-x}=5$ has a unique solution is $p=-1/20$.