SOLUTION: (1/3)^x = 2 (3^x) (one-third to the power of X = 2 multiplied by (3 to the power of X) Please help me solve this!!! Thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: (1/3)^x = 2 (3^x) (one-third to the power of X = 2 multiplied by (3 to the power of X) Please help me solve this!!! Thanks       Log On


   

Question 451345: (1/3)^x = 2 (3^x)
(one-third to the power of X = 2 multiplied by (3 to the power of X)
Please help me solve this!!!
Thanks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F3%29%5Ex+=+2%2A%283%5Ex%29+
+%281%2F9%29%5Ex+=+2+
+x%2A+log%281%2F9%29+=+log%282%29+
+x+%2A%28-log%289%29%29++=+log%282%29+
+x+=+-%28log%282%29%29+%2F+log%289%29+
+x+=+-.301%2F.954+
+x+=+-.315+
check answer:
+%281%2F3%29%5Ex+=+2%2A%283%5Ex%29+
+%281%2F3%29%5E%28-.315%29+=+2%2A%283%5E%28-.315%29%29+
+1.414+=+1.414+
OK