# Logarithm basics

Algebra Level 4

Find $\large\displaystyle\sum_{k=1}^{n} \left (x_{k} \right )$

where : $$n$$= number of values of $$x$$ in equation :

$$x^{[(\frac{3}{4})(\log_{2}x)^{2}+\log_{2}x-\frac{5}{4}]} = \sqrt{2}$$.

If your answer come as $$\frac{ a+b\sqrt[c]{d}}{d}$$ submit it as $$a+b+c+d$$.

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