Question

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

Answer 1

p = -4

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.