solution to an Lagrangian Inverse Problem

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What is the solution to the Equation 9887.263 = (27.53–x)/ln((90–x)/62.46) ? Is there a real number answer to this using inverse function? Can you please explain the Steps... No Trail and Error Solution Please!!

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What do you mean "using the inverse function"?

I assume you are looking for the value of x? If you are, then

$987.26*4 = (27.53-x)/ln(90-x)$

$987.26*4*ln(90-x) = 27.53 - x $

Then exponentiate both sides and that should yield the answer? Try that and let me know if it is okay