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# 4^(p-12)=8^5p what is p

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4^(p-12)=8^5p what is p

Guest Jun 15, 2015

#1
+85918
+5

4^(p-12)=8^(5p)         note that we can write 4 as 2^2 and we can write 8 as 2^3.......so we have

(2^2)^(p -  12)  = (2^3)^(5p)

(2)^(2p - 24)  =  (2)^(15p)      and since the bases are the same, we can solve for the exponents

2p - 24  = 15p       rearrange

-13p = 24    divide both sides by -13

p  = -24/13

CPhill  Jun 16, 2015
Sort:

#1
+85918
+5

4^(p-12)=8^(5p)         note that we can write 4 as 2^2 and we can write 8 as 2^3.......so we have

(2^2)^(p -  12)  = (2^3)^(5p)

(2)^(2p - 24)  =  (2)^(15p)      and since the bases are the same, we can solve for the exponents

2p - 24  = 15p       rearrange

-13p = 24    divide both sides by -13

p  = -24/13

CPhill  Jun 16, 2015

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