briannagar26 briannagar26
  • 26-03-2020
  • Mathematics
contestada

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

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altavistard
altavistard altavistard
  • 26-03-2020

Answer:

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.

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