Let N = (0.7214 x 20.37)/(608). Take the logarithm of both sides.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the questions:
Question 11: Use logarithms table to evaluate: $\frac{0.7214 \times 20.37}{608}$
Step 1: Let $N = \frac{0.7214 \times 20.37}{608}$. Take the logarithm of both sides.
$$\log N = \log(0.7214) + \log(20.37) - \log(608)$$
Step 2: Find the logarithms of each number using logarithm tables.
$$\log(0.7214) = \bar{1}.8582$$
$$\log(20.37) = 1.3090$$
$$\log(608) = 2.7839$$
Step 3: Perform the addition and subtraction of the logarithms.
$$\log N = \bar{1}.8582 + 1.3090 - 2.7839$$
First, add the positive logarithms:
$$\bar{1}.8582 + 1.3090 = (-1 + 0.8582) + (1 + 0.3090) = 0.8582 + 0.3090 = 1.1672$$
Now, subtract the logarithm of the denominator:
$$\log N = 1.1672 - 2.7839$$
$$\log N = -1.6167$$
Step 4: Convert the negative logarithm to the standard characteristic-mantissa form.
$$-1.6167 = -2 + 0.3833 = \bar{2}.3833$$
Step 5: Find
