SOLUTION: 2^(2x)=11

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2^(2x)=11      Log On


   

Question 273166: 2^(2x)=11
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%282x%29+=+%282%5E2%29%5Ex
%282%5E2%29%5Ex+=+4%5Ex
Your equation becomes
4%5Ex+=+11
take the log of both sides
x%2Alog%284%29+=+log%2811%29
x+=+log%2811%29%2Flog%284%29