Question 133895
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