If log_{10} 2 = 0.3010 and log_{10} 3 = 0.4771, what is the value of log_{10} 1.5?

Model Answer & Options

Source: Extra Practice

0.7781

0.1761

0.1505

0.6020

Explanation

Using the quotient rule of logarithms, log(a/b) = log a - log b. log_{10} 1.5 = log_{10} (3/2) = log_{10} 3 - log_{10} 2. Substituting the given values: 0.4771 - 0.3010 = 0.1761. Option A is the sum (product rule), which is incorrect. Other options are mathematical errors.

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