SOLUTION: Solve the exponential equation a)( 2^(3x))(2^x) = 1/4 Thanks so much in advance:)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the exponential equation a)( 2^(3x))(2^x) = 1/4 Thanks so much in advance:)      Log On


   

Question 824787: Solve the exponential equation
a)( 2^(3x))(2^x) = 1/4
Thanks so much in advance:)
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
( 2^(3x))*(2^x) = 1/4
2^(3x+2^x) = 1/4
2^(4x) = 1/4
(2^4)^x = 1/4
16^x = 1/4
16^x = 1/4
16%5Ex+=+1%2F%2816%5E%281%2F2%29%29
16%5Ex+=+%2816%5E%28-1%2F2%29%29
so x = -1/2