Problem

Evaluate without using a calculator.
\[
\log _{10} 100,000
\]
\[
\log _{10} 100,000=
\]

Answer

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Answer

Final Answer: \(\log _{10} 100,000= \boxed{5}\)

Steps

Step 1 :Evaluate without using a calculator: \(\log _{10} 100,000\)

Step 2 :The logarithm base 10 of a number is the exponent to which 10 must be raised to get that number. In this case, we need to find the exponent to which 10 must be raised to get 100,000.

Step 3 :We know that \(10^5 = 100,000\). Therefore, the logarithm base 10 of 100,000 is 5.

Step 4 :Final Answer: \(\log _{10} 100,000= \boxed{5}\)

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