SOLUTION: I submitted a question earlier but I have figured it out. The question was 36 to the 5X - 2 power = 1/6 to the 11- x power. I no longer need the solution as I got the answer whic

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I submitted a question earlier but I have figured it out. The question was 36 to the 5X - 2 power = 1/6 to the 11- x power. I no longer need the solution as I got the answer whic      Log On


   



Question 579984: I submitted a question earlier but I have figured it out. The question was 36 to the 5X - 2 power = 1/6 to the 11- x power. I no longer need the solution as I got the answer which is -5/3.
Thank you.

Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
Wrong, it's not x=-5/3
36%5E%285x-2%29+=+%281%2F6%29%5E%2811-x%29
%286%5E2%29%5E%285x-2%29+=+%286%5E-1%29%5E%2811-x%29 take log(base 6) of both sides
10x - 4 = -11 + x
9x = -7
x = -7/9
CHECK:
5(-7/9)-2 = -53/9
11 - (-7/9) = 106/9


36%5E%28-53%2F9%29+=+6.84+%2A+10%5E-10
%281%2F6%29%5E%28106%2F9%29+=+6.84+%2A+10%5E-10