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X=10^x/6 - 1

Guest Feb 25, 2017
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I assume this is \(x=10^{x/6}-1\) and you want to solve for x.

 

There is one obvious solution, namely x = 0.  A graph shows there is another solution just beyond x = 4.

 

This solution needs to be found numerically (or graphically).  Rearrange the equation as \(x=6\log(x+1)\) and a simple iteration works:

 

.

Alan  Feb 25, 2017

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