To calculate \( 2.467 \times 0.0921 \) using logarithms, follow these steps:
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Find the logarithm of each number:
- For \( 2.467 \), you can check a logarithm table or use a calculator to find:
- \( \log_{10} 2.467 \approx 0.3933 \)
- For \( 0.0921 \):
- \( \log_{10} 0.0921 \approx -1.034 \)
- For \( 2.467 \), you can check a logarithm table or use a calculator to find:
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Add the logarithms: \[ \log_{10}(2.467 \times 0.0921) = \log_{10} 2.467 + \log_{10} 0.0921 \] \[ \log_{10}(2.467 \times 0.0921) \approx 0.3933 - 1.034 = -0.6407 \]
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Find the antilogarithm: To find the product, take the antilogarithm: \[ 10^{-0.6407} \approx 0.0227 \]
Thus, when you calculate \( 2.467 \times 0.0921 \), using logarithms gives you approximately \( 0.0227 \).