SOLUTION: (49/81)^x+1 > 9/7

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Question 1175919: (49/81)^x+1 > 9/7
Found 3 solutions by CubeyThePenguin, ankor@dixie-net.com, ikleyn:
Answer by CubeyThePenguin(3113)   (Show Source): You can put this solution on YOUR website!
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!



use natural logs

x >
use your calc
x > 2.49242
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.

The  6-th sense tells me that the inequality is

             > . 

If so, then it is equivalent to

     > 

     > 



Since the base of the exponential function is greater than 1, it inplies

     -2(x+1) > 1

     -2x - 2 > 1

      -2 - 1 > 2x

       2x < -3                

        x < .             ANSWER


Visual  CHECK



    


       Plot y =  (red)  and y =  (green)

Solved.



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