SOLUTION: (-9x + 57)^x = 729, find x.

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Question 1210272: (-9x + 57)^x = 729,
find x.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


When the unknown in an equation appears as an exponent as well as a term or
factor, there is no way to solve it but by trial and error or some iterative
method which amounts to trial and error.

Since 729 = 36, you might try 6:







So 6 is a solution.

With a graphing calculator, you can also get another solution, although
this one is approximate:

x = 1.7746996


       


Edwin
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