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

Algebra.Com
Question 1133219: What is the value of p in the equation?
32^(p-2)=8^(3p)

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
It is equivalent to


 = 


and implies


5*(p-2) = 9p


5p - 10 = 9p

-10 = 9p - 5p

4p = -10

p =  = -2.5.     ANSWER


RELATED QUESTIONS

square root of (3p^2 - 11) - x = 0 If p > 0 and x = 8 in the equation above, what is... (answered by ikleyn,josgarithmetic)
if P^3+3P^2+3P=7, then the value of P^2+2P... (answered by josgarithmetic)
what is the value of p in 8-3p=13-5p and how did you get that... (answered by checkley71)
what is the value of p in 8-3p=13-5 and how did you get that... (answered by uma,funmath)
What is the value of 2|6 + p| - 3p3 when p = -2? -32 -16 32 56 (answered by Alan3354)
If p = -2 , find the value of... (answered by jim_thompson5910)
if one root of the equation (p^2+2)x^2+7x+3p=0 is the reciprocal of the another then find (answered by MathLover1)
What is the value of p(1)+ p(2)+ p(3)+ p(4)+ p(5)+ p(6)+ p(7)+... (answered by ikleyn)
What is the inequation for... (answered by Alan3354)