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EXPLANATION
Factor the nuber 10,000:
[tex]10,000=10^4[/tex]Therefore,
[tex]\log _{10}10,000=\log _{10}(10)^4[/tex]Applying the log rule:
[tex]\log _a(a^x)=x[/tex]Hence,
[tex]\log _{10}(10^4)=4[/tex]The answer is 4