SOLUTION: Q1. 2^x=1/2 Q2. By considering powers of 2, solve the following equation 0.25^x=32^(3-x)

Algebra ->  Finance -> SOLUTION: Q1. 2^x=1/2 Q2. By considering powers of 2, solve the following equation 0.25^x=32^(3-x)      Log On


   

Question 805566: Q1. 2^x=1/2
Q2. By considering powers of 2, solve the following equation
0.25^x=32^(3-x)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2^x=1/2
2%5E%28x%29=+2%5E%28-1%29
x=-1



Q2. By considering powers of 2, solve the following equation
0.25^x=32^(3-x)
(1/4)^x= 32^(3-x)
(1/2^2)^x= 2^5(3-x)
2^-2x = 2^(5(3-x))
-2x=5(3-x)
-2x=15-5x
3x= 15
x=5