How to Solve for Unknown Variable in ln Equation?

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Homework Statement



I've been puzzling with this for 1 hour and can't figure it out. How do you calculate the unknown x from this equation?

Homework Equations



ln(1-x)-5x+7.5=0
 
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Since this involves the variable, x, both inside a transcendental function and outside it, there is no "algebraic" method to solve for x. You will have to use a numerical method.