What is log base 10 of 0.001?

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Study for the IMAT Chemistry Exam. Access flashcards and multiple choice questions; hints and explanations included for each question. Prepare effectively for your exam.

Multiple Choice

What is log base 10 of 0.001?

Explanation:
Logarithms with base 10 ask what exponent you must put on 10 to get the number. Since 0.001 is the same as 1/1000, and 1000 = 10^3, we have 0.001 = 10^-3. So log10(0.001) is the exponent, which is -3. This matches the idea that 10^-3 equals 0.001. For intuition, -2 would give 0.01, -1 would give 0.1, and 0 would give 1, none of which are 0.001.

Logarithms with base 10 ask what exponent you must put on 10 to get the number. Since 0.001 is the same as 1/1000, and 1000 = 10^3, we have 0.001 = 10^-3. So log10(0.001) is the exponent, which is -3. This matches the idea that 10^-3 equals 0.001. For intuition, -2 would give 0.01, -1 would give 0.1, and 0 would give 1, none of which are 0.001.

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