+0  
 
0
366
1
avatar

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

Guest Jun 15, 2015

Best Answer 

 #1
avatar+78557 
+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+0 Answers

 #1
avatar+78557 
+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

9 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details