Let α be a non-zero real number. Suppose f: R → R is a differentiable function such that f(0)=2 and lim_x →-∞ f(x)=1. If f^′(x)=α f(x)+3, for all x ∈…

Let $\displaystyle \alpha$ be a non-zero real number. Suppose $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ is a differentiable function such that $\displaystyle f(0)=2$ and $\displaystyle \lim _{x \rightarrow-\infty} f(x)=1$. If $\displaystyle f^{\prime}(x)=\alpha f(x)+3$, for all $\displaystyle x \in \mathbf{R}$, then $\displaystyle f\left(-\log _e 2\right)$ is equal to $\displaystyle \_\_\_\_$.