SoLVE FOR x

x=((10000*ln(x)+9397)/8500)

$x=\frac{10000 \times ln(x)+9397}{8500}$

You'll need to use a numerical method, Newton-Raphson would work well.

(NB. the equation has two roots located at approximately 0.721 and 1.79).

Could also do it as follows:

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