Academic Challenge Practice Test

What is log base 10 of 10000?

3 4 2 5

Correct Answer:

Explanation:

The main idea is that a logarithm answers the question: to what power must the base be raised to obtain the given number? For a base of 10, you’re looking for the exponent x such that 10^x = 10000. Since 10^4 equals 10000, the exponent is 4. So log10(10000) = 4. You can see why by comparing nearby powers: 10^3 is 1000 and 10^5 is 100000, placing 10000 exactly at the fourth power of 10.

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