SOLUTION: 3-x=log_36(6)^5-x The bottom line just means that the 36 is the subscript. I need to find x and be able to check it.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3-x=log_36(6)^5-x The bottom line just means that the 36 is the subscript. I need to find x and be able to check it.      Log On


   

Question 1110898: 3-x=log_36(6)^5-x
The bottom line just means that the 36 is the subscript.
I need to find x and be able to check it.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39847) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure what is meant for your right-side expression but if this:
log%2836%2C6%5E%285-x%29%29

then %285-x%29log%2836%2C6%29
%285-x%29%28log%286%2C6%29%2Flog%286%2C36%29%29
%285-x%29%281%2Flog%286%2C6%5E2%29%29
%285-x%29%281%2F2%29

If that, then your equation would be
3-x=%285-x%29%2F2
and you can continue to solve.

Answer by MathTherapy(10895) About Me  (Show Source):
You can put this solution on YOUR website!
3-x=log_36(6)^5-x 

The bottom line just means that the 36 is the subscript. 
I need to find x and be able to check it.
***********************************
           3+-+x+=+log+%2836%2C+%286%5E%285-x%29%29%29
    36%5E%283+-+x%29+=+6%5E%285+-+x%29 ---- Converting to EXPONENTIAL form
%286%5E2%29%5E%283+-+x%29+=+6%5E%285+-+x%29
    6%5E%286+-+2x%29+=+6%5E%285+-+x%29
         6 - 2x = 5 - x ---- Equating EXPONENTS, since bases are equal
           6 - 5 = - x + 2x 
               1 = x