What is log base 10 of 100?

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Multiple Choice

What is log base 10 of 100?

Explanation:
The idea is that a logarithm asks for the exponent you must raise the base to in order to get the number. For base 10 and the number 100, you’re asking: 10 raised to what power equals 100? Since 10^2 = 100, the exponent is 2, so log base 10 of 100 equals 2. This also follows the rule log_b(b^k) = k, here with b = 10 and k = 2. The other possible exponents would give results like 10^0 = 1, 10^10 = a huge number, or 10^100, none of which are 100.

The idea is that a logarithm asks for the exponent you must raise the base to in order to get the number. For base 10 and the number 100, you’re asking: 10 raised to what power equals 100? Since 10^2 = 100, the exponent is 2, so log base 10 of 100 equals 2. This also follows the rule log_b(b^k) = k, here with b = 10 and k = 2. The other possible exponents would give results like 10^0 = 1, 10^10 = a huge number, or 10^100, none of which are 100.

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