If I have $$ \mathrm{asinh}\left(\frac{x}{2.8\cdot10^{-10}}\right) = 15 $$ How can I calculate $x$? Should I use $\mathrm{asinh} \, x = \ln(x+\sqrt{x^2+1})$ Or something else?
2026-03-27 08:38:34.1774600714
asinh from fraction
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Well, we're trying to solve:
$$\ln\left(\frac{x}{\frac{14}{5}\cdot10^{-10}}+\sqrt{1+\left(\frac{x}{\frac{14}{5}\cdot10^{-10}}\right)^2}\right)=15\space\Longleftrightarrow\space x=\frac{7\sinh\left(15\right)}{25000000000}\tag1$$