How Do You Isolate x in the Equation A = bx / (1-(1+x)^{-c})?

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To isolate x in the equation A = bx / (1 - (1 + x)^{-c}), one must rearrange the equation carefully. The user seeks assistance in manipulating the equation since all other variables (A, b, and c) are known. Initial attempts at rearranging have not yielded a solution. Clarification on the correct form of the equation is also requested. The discussion highlights the challenges of isolating x in complex equations.
Toby_Obie
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Hello

I originally posted this on the pre-calculus board, but no answer

Im trying to rearrange to find x from the below (all other values, A, b and c known)

A = bx / 1-(1+x)^{-c}

I've rearranged but to no avail, I'm unsure how to isolate x

How would I go about this ?

Thanks, much appreciated
 
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Is it A=(b*x)/(1-(1+x)-c) ?
 
Correct
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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