In process of finding right lenses for my new camera

I just recently bought a new camera, SONY A 6000. The camera came with a kit lenses 16-50 (f 3,5- 5,6)
Which are quite good for most of the cases that I use camera for. But I need lenses with a larger zoom options so friend of my landed me his Sony E 55-210mm F4.5-6.3 Lenses to try.
This lanses are pretty good but they are bad at low light situations.

Original camera lenses

So if anyone of you can recommend me (AFFORDABLE) lenses that are good at low light and have big zoom option I will appreciate your advice.

And just one more thing - lenses had to be with E-mount compatible.
Thank you in advance.