Hey there! :)
Answer:
㏒[tex]_{5}[/tex] (1/25) = -2.
Step-by-step explanation:
Starting with:
㏒[tex]_{5}[/tex] (1/25) =
We can rewrite this expression as:
[tex]5^{x} = 1/25[/tex]
1/25 is equivalent to [tex]5^{-2}[/tex], therefore:
[tex]5^{x} = 5^{-2}[/tex]
x = -2.
Therefore, ㏒[tex]_{5}[/tex] (1/25) = -2.