Simplify: (3 + 2) - (5 - 1 ). (b) Solve for n in the equation 2n2 = 4n. (c) Use logarithm tables to evaluate: 734.6/56.4.

It's often easier to work with whole numbers and fractions separately for addition/subtraction.
For the first parenthesis:

$$3\frac{1}{2} + 2\frac{1}{4} = (3+2) + (\frac{1}{2} + \frac{1}{4})$$ $$= 5 + (\frac{2}{4} + \frac{1}{4})$$ $$= 5 + \frac{3}{4} = 5\frac{3}{4}$$

For the second parenthesis:

$$5\frac{1}{2} - 1\frac{1}{2} = (5-1) + (\frac{1}{2} - \frac{1}{2})$$ $$= 4 + 0 = 4$$

$$5\frac{3}{4} - 4 = (5-4) + \frac{3}{4}$$ $$= 1 + \frac{3}{4} = 1\frac{3}{4}$$

The simplified expression is $\boxed{1\frac{3}{4}}$.

2. (b) Solve for $n$ in the equation $2n^2 = 4n$.

$$2n = 0 \quad \text{or} \quad n - 2 = 0$$ $$n = \frac{0}{2} \quad \text{or} \quad n = 2$$ $$n = 0 \quad \text{or} \quad n = 2$$

The solutions for $n$ are $\boxed{n=0 \text{ or } n=2}$.

2. (c) Use logarithm tables to evaluate: $\frac{734.6}{56.4}$

Take the logarithm of both sides.

$$\log X = \log\left(\frac{734.6}{56.4}\right)$$

Using the logarithm property $\log(\frac{A}{B}) = \log A - \log B$:

$$\log X = \log 734.6 - \log 56.4$$

The characteristic is 2 (since there are 3 digits before the decimal point, $3-1=2$).
From logarithm tables, the mantissa for 734.6 is approximately .8661.

$$\log 734.6 = 2.8661$$

The characteristic is 1 (since there are 2 digits before the decimal point, $2-1=1$).
From logarithm tables, the mantissa for 56.4 is approximately .7513.

$$\log 56.4 = 1.7513$$

$$\log X = 2.8661 - 1.7513$$ $$\log X = 1.1148$$

The characteristic is 1, which means there will be $1+1=2$ digits before the decimal point in the answer.
Look up the mantissa .1148 in the antilogarithm tables. The number corresponding to .1148 is approximately 1300.
Placing the decimal point according to the characteristic:

$$X = 13.00$$

The value is $\boxed{13.00}$.