SOLUTION: 9^x+1=81^2x+1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 9^x+1=81^2x+1      Log On


   

Question 1117294: 9^x+1=81^2x+1
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
9%5E%28x%2B1%29 = 81%5E%282x%2B1%29  ====>


9%5E%28x%2B1%29 = %289%5E2%29%5E%282x%2B1%29  ====>


9%5E%28x%2B1%29 = 9%5E%282%2A%282x%2B1%29%29  ====>


x + 1 = 2*(2x+1)  ====>


x + 1 = 4x + 2  ====>


1 - 2 = 4x - x


-1 = 3x  ====>  x = -1%2F3.


Answer.  x = -1%2F3.