1. **State the problem:** Calculate the value of $$D$$ given the formula $$D = 2.75 \times \log A - \sqrt{\frac{1}{A}}$$ where $$A = 7.7$$ million.
2. **Write the formula and explain:**
The formula is $$D = 2.75 \times \log A - \sqrt{\frac{1}{A}}$$.
- $$\log A$$ means the logarithm of $$A$$ (base 10).
- $$\sqrt{\frac{1}{A}}$$ means the square root of the reciprocal of $$A$$.
3. **Substitute the value of $$A$$:**
$$D = 2.75 \times \log 7.7 - \sqrt{\frac{1}{7.7}}$$
4. **Calculate $$\log 7.7$$:**
$$\log 7.7 \approx 0.8865$$
5. **Calculate the square root term:**
$$\sqrt{\frac{1}{7.7}} = \sqrt{0.12987} \approx 0.36$$
6. **Calculate the product:**
$$2.75 \times 0.8865 = 2.438$$
7. **Put it all together:**
$$D = 2.438 - 0.36 = 2.078$$
8. **Final answer:**
$$\boxed{D = 2.078}$$ million.
This means the value of $$D$$ is approximately 2.078 million.
Logarithm Calculation 51E1D1
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