[tex] log_{10}(10.000) [/tex]What does this equals

Answer :

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

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