\frac{1}{\sqrt{x}}=\:-2\log _{10}\left(\frac{0.00026}{3.7}+\frac{2.51}{\sqrt{x}\left(11688738.791\right)}\right)
You asked:
Solve the equation \(\frac{1}{\sqrt{x}} = -\left( 2 \cdot \log_{10}\left( \frac{0.00026}{3.7} + \frac{2.51}{\sqrt{x} \cdot 11688738.791} \right) \right)\) for the variable \(x\).
MathBot Answer:
The complex solutions are: \[\left\{x\; \middle|\; x \in \mathbb{R} \wedge x \log{\left(\frac{13}{185000} + \frac{2510}{11688738791 \sqrt{x}} \right)}^{2} - \frac{\log{\left(10 \right)}^{2}}{4} = 0 \right\} \setminus \left\{0\right\}\]