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Calculate the logarithm of 10000 to the base 10.

Options:
1. \(\log_{10} 10000 = 4\)
2. \(\log_{10} 10000 = 3\)
3. \(\log_{10} 10000 = 5\)
4. \(\log_{10} 10000 = 2\)

Answer :

Final answer:

The logarithm of 10000 to the base 10 is 4. Therefore, the correct answer among the given choices is Option 1: log1010000 = 4.

Explanation:

The logarithm of a number is the exponent to which the base must be raised to produce that number. In the case of the number 10000 and base 10, we want to determine the exponent 'x' such that 10^x equals 10000: 10^x = 10000. We can see that 10 raised to the power of 4 equals 10000. Therefore, log1010000 = 4. So, the correct option among the ones given is Option 1: log1010000 = 4.

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