What is log base 10 of 0.01?

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Multiple Choice

What is log base 10 of 0.01?

Explanation:
Logarithms ask for the exponent to which the base must be raised to get the number. For base 10, find n such that 10^n = 0.01. Since 0.01 equals 1/100, and 1/100 is 10^-2, the exponent is -2. Therefore, log10(0.01) = -2. This also fits the idea that numbers smaller than 1 have negative logs, while numbers larger than 1 have positive logs.

Logarithms ask for the exponent to which the base must be raised to get the number. For base 10, find n such that 10^n = 0.01. Since 0.01 equals 1/100, and 1/100 is 10^-2, the exponent is -2. Therefore, log10(0.01) = -2. This also fits the idea that numbers smaller than 1 have negative logs, while numbers larger than 1 have positive logs.

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