Solve for c
c=2^{1-k}
Solve for k
k=-\log_{2}\left(c\right)+1
c>0
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2=c\times 2^{k}
Multiply 1 and 2 to get 2.
c\times 2^{k}=2
Swap sides so that all variable terms are on the left hand side.
2^{k}c=2
The equation is in standard form.
\frac{2^{k}c}{2^{k}}=\frac{2}{2^{k}}
Divide both sides by 2^{k}.
c=\frac{2}{2^{k}}
Dividing by 2^{k} undoes the multiplication by 2^{k}.
c=2^{1-k}
Divide 2 by 2^{k}.
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