Geometric Series and Logarithmic Identities

Let $\alpha = \dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{16} + \dots \infty$ and $\eta = \dfrac{1}{3} + \dfrac{1}{9} + \dfrac{1}{27} + \dots \infty$ . Then the value of $(0.2)^{\log_{\sqrt{5}}(\alpha)} + (0.04)^{\log_{5}(\beta)}$ is equal to :