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

 Jun 15, 2015

Best Answer 

 #1
avatar+98196 
+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

 

 

 Jun 16, 2015
 #1
avatar+98196 
+5
Best Answer

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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