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Answer:
c = B^t(k/P -1)
Step-by-step explanation:
Perhaps the equation you want to solve for c is ...
[tex]P=\dfrac{k}{1+cB^{-t}}[/tex]
Then the solution is found by isolating the c term and dividing by the coefficient of c:
[tex]1+cB^{-t}=\dfrac{k}{P}\\\\cB^{-t}=\dfrac{k}{P}-1\\\\\boxed{c=B^t\left(\dfrac{k}{P}-1\right)}[/tex]