SOLUTION: What is the value of p in the equation? 32^(p-2)=8^(3p)

Algebra ->  Expressions-with-variables -> SOLUTION: What is the value of p in the equation? 32^(p-2)=8^(3p)      Log On


   

Question 1133219: What is the value of p in the equation?
32^(p-2)=8^(3p)
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is equivalent to


2%5E%285%2A%28p-2%29%29 = 2%5E%283%2A%283p%29%29


and implies


5*(p-2) = 9p


5p - 10 = 9p

-10 = 9p - 5p

4p = -10

p = -10%2F4 = -2.5.     ANSWER