Subjects algebra

Multiply Using Logarithm

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Multiply Using Logarithm


1. The problem asks to evaluate $2 \times 103$ using a logarithm table. 2. First, calculate the logarithm of each number: $\log(2)$ and $\log(103)$. 3. Using the logarithm table, find approximate values: $\log(2) \approx 0.3010$, $\log(103) \approx 2.0128$. 4. Add these logarithms: $0.3010 + 2.0128 = 2.3138$. 5. Find the antilogarithm of $2.3138$: $10^{2.3138} \approx 205.5$. 6. Thus, $2 \times 103 \approx 205.5$ using the logarithm table.