Answer:
[tex]\boxed{\underline{\tt B.\:x=-6}}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{1}{25} = 5^{(x+4)}[/tex]
(First, let's convert both sides to the same base):-
[tex]\tt 5^{-2}=5^{x+4}[/tex]
(Now, cancel the base of 5 on both sides):-
[tex]\tt -2=x+4[/tex]
( Subtract 4 from sides)
[tex]\tt x+4-4=-2-4[/tex]
[tex]\tt x=-6[/tex]
~
