Subjects algebra

Logarithm 3000

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1. The problem is to find the logarithm of 3000 using mathematical tables. 2. We use the property of logarithms: $$\log(ab) = \log a + \log b$$. 3. Express 3000 as $3000 = 3 \times 1000$. 4. Using tables, find $\log 3$ and $\log 1000$. 5. From tables, $\log 3 \approx 0.4771$ and $\log 1000 = 3$ since $1000 = 10^3$. 6. Therefore, $$\log 3000 = \log 3 + \log 1000 = 0.4771 + 3 = 3.4771$$. 7. So, the logarithm of 3000 is approximately $3.4771$.