Solve inverse log + constant

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Is it possible to solve for b in the following?

a = log2(b + c)

For example:

3.907 = log2(b + 10)
b = 5
2

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$$\begin{array}{rcl} a &=& \log_2(b+c) \\ 2^a &=& b+c \\ 2^a-c &=& b \\ b &=& 2^a-c \end{array}$$

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Hint: $$y = \log_2(x) \Leftrightarrow 2^y=x $$