Given log₁₀ x = a, log₁₀ y = b,

(i) Write down 10^{a + 1} in terms of x.

(ii) Write down 10^2b in terms of y.

(iii) If log₁₀ P = 2a − b, express P in terms of x and y.

Evaluate the following without using log tables :

2 log 5 + log 8 − $\dfrac{1}{2}$ log 4

Evaluate the following without using log tables :

5 log 2 + $\dfrac{3}{2}$ log 25 + $\dfrac{1}{2}$ log 49 − log 28

Evaluate the following without using log tables :

2 log 2 + log 5 − $\dfrac{1}{2}$ log 36 − log $\dfrac{1}{30}$