$$\left. \begin{array} { l } { ( 1.1 ) ^ { x } = 2 } \\ { x = ? } \end{array} \right.$$
$y=\frac{i\times 2\pi n_{1}}{\ln(1.1)}+\log_{1.1}\left(2\right)$
$y=\log_{1.1}\left(2\right)\approx 7.272540897$