Solve equation 5 (2) ^p=5/16

p = - 4

Step-by-step explanation:

Simplify this equation by dividing both sides by 5:

(2) ^p = 1/16

Recognize that the base is 2 on both sides. 16 can be rewritten as 2^4, and so we have:

(2) ^p = (2) ^ (-4)

Now it's clear that 2 is the base. We can take the log to the base 2 of both sides and end u p with p = - 4.