Is there anyway to calculate a out of this equation?

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So I know that

$$a = e^\frac{\log_2(x)}{\ln x}$$.

(I couldn't find a link for formatting help, I'm sorry - 2 is the base, ^ = power).

Is there anyway to calculate a out of this?

Thanks.

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By definition : $\log_2 x=\dfrac{\ln x}{\ln 2}$

Therefore your expression boils down to $a=e^{1/\log(2)}$ but it cannot be simplified further.