SOLUTION: 2Log base9 (3X-1) = Log base 9 (6X+1) {{{2*log(9,3x-1)=log(9,6x+1)}}} need to find the sum of the soulution set

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2Log base9 (3X-1) = Log base 9 (6X+1) {{{2*log(9,3x-1)=log(9,6x+1)}}} need to find the sum of the soulution set      Log On


   

Question 708139: 2Log base9 (3X-1) = Log base 9 (6X+1)
2%2Alog%289%2C3x-1%29=log%289%2C6x%2B1%29
need to find the sum of the soulution set
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
I'll show most of the way through a solution but not the whole finished solution.

From this given, 2%2Alog%289%2C%283x-1%29%29=log%289%2C%286x%2B1%29%29, you can form
log%289%2C%283x-1%29%5E2%29=log%289%2C%286x%2B1%29%29
and since this shows taking logarithms on each side, we can equate the expressions of which those logarithms are being taken:

%283x-1%29%5E2=%286x%2B1%29
.
9x%5E2-12x=0. Divide L & R by 3:
3x%5E2-4x=0.
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