Log10 1000 = ?
Correct answer: B. 3
- A. 0.3
- B. 3
- C. 1/3
- D. 3.3
Explanation
The definition of a logarithm states that if loga b = x, then a^x = b. In this question, log10 1000 = x means that 10^x = 1000. Since 1000 can be rewritten as 10^3, it follows that x must be 3, making Option B the correct answer. The other options are incorrect: 10^0.3 is approximately 2, not 1000; 10^(1/3) is approximately 2.15, not 1000; and 10^3.3 is approximately 1995.26, not 1000.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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