# Not Quite Fibonacci

Let us define a recursive relation of $$M_n$$ as follows:

$\begin{cases} M_1 = 1 \\ M_2 = 2 \\ M_n = M_{n-1} M_{n-2}\text{ for }n>2 \end{cases}$

What is $$\log_2({M_{17}})$$?

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