1. The graph of y=2logbase5X-7 is reflected in the x-axis and translated 6 units up. I got y=-2logbase5X-1 as a result. The answer key says y=-2logbase5+13. How????

Answer 1

assuming you mean y=2log_5(x)-7
reflected it is y = -2log_5(x)+7
shifting up you just add 6:

y = -2log_5(x)+13

Answer 2

The graph of y= log(6(X-3)) is horizontally expanded by a factor of 3, and translated 9 units left.

Answer 3

I don't get that one too^