How do you solve 4^(2p)=4^(-2p-1)?

3 Answers

p=-1/4

Explanation:

Given equation

4^{2p}=4^{-2p-1}

Comparing the powers on base 4 we get

2p=-2p-1

2p+2p=-1

4p=-1

p=-1/4

Jul 28, 2018

p=-1/4

Explanation:

"since both sides are expressed in base 4"

"we can equate the exponents"

2p=-2p-1

4p=-1rArrp=-1/4

Jul 28, 2018

p=-1/4

Explanation:

Since the bases are the same, we can equate the exponents. With this in mind, we now have:

2p=-2p-1

Next, let's add 2p to both sides to get

4p=-1

Lastly, we can divide both sides by 4 to get

p=-1/4

Hope this helps!