SOLUTION: Solve the exponential equation a)(2^x)^2 = 16(2)^x Thanks so much in advance:)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the exponential equation a)(2^x)^2 = 16(2)^x Thanks so much in advance:)      Log On


   



Question 824790: Solve the exponential equation
a)(2^x)^2 = 16(2)^x
Thanks so much in advance:)

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the exponential equation
a)(2^x)^2 = 16(2)^x
2%5E%282x%29+=+16%2A2%5Ex
2%5E%282x%29%2F2%5Ex = 16
2%5E%282x-x%29 = 16
2%5Ex = 16
16 is the 4th power of 2, therefore
x = 4