Question

Найдите область определения функции f(x)=√㏒5(x+2)-㏒5(2x-8)

Answer 1

$f(x)=sqrt{log_5(x+2)}-log_5(2x-8)\left[begin{array}{ccc}x+2 textgreater 0\2x-8 textgreater 0end{array}rightleft[begin{array}{ccc}x textgreater -2\2x textgreater 8end{array}rightleft[begin{array}{ccc}x textgreater -2\x textgreater 4end{array}right$
x∈(4; +∞)