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Answer :

Given:

[tex]\log_5125+\log_5125[/tex]

Required:

To choose the correct expression equivalent to the given.

Explanation:

We know that,

[tex]\log_ax+\log_ay=\log_axy[/tex]

Theregore,

[tex]\begin{gathered} \log_5125+\log_5125=\log_5(125\times125) \\ =\log_5(15625) \\ =\log_5(5^6) \end{gathered}[/tex]