SOLUTION: this question came from a teacher-made worksheet {{{6^(x-1) = 2^(6-x)}}} I don't know where to start.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: this question came from a teacher-made worksheet {{{6^(x-1) = 2^(6-x)}}} I don't know where to start.      Log On


   

Question 133895: this question came from a teacher-made worksheet
6%5E%28x-1%29+=+2%5E%286-x%29
I don't know where to start.
Answer by Ganesha(13) About Me  (Show Source):
You can put this solution on YOUR website!
6^(x-1) = 2^(6-x)
Take logarithms on both sides.
(x-1)log6 = (6-x)log2
xlog6+ xlog2 =log6 +6log2
x(log + log2) = log6*2^6
xlog(6*2) =log (6*2^6)
xlog12 = log(6*2^6)/log12 = log384 / log12 = 2.394714728