What is log base 10 of 1000?

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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 1000?

Explanation:
The idea is to find the exponent to which the base must be raised to obtain the given number. For a common logarithm, the base is 10. We know that 10^2 = 100 and 10^3 = 1000. Since 1000 equals 10 raised to the third power, the logarithm log base 10 of 1000 is 3. The other nearby powers don’t match 1000 (10^2 would be 100, 10^1 would be 10, 10^4 would be 10000), so 3 is the correct result.

The idea is to find the exponent to which the base must be raised to obtain the given number. For a common logarithm, the base is 10. We know that 10^2 = 100 and 10^3 = 1000. Since 1000 equals 10 raised to the third power, the logarithm log base 10 of 1000 is 3. The other nearby powers don’t match 1000 (10^2 would be 100, 10^1 would be 10, 10^4 would be 10000), so 3 is the correct result.

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