Given 2 log₁₀ x + 1 = log₁₀ 250, find :

(i) x

(ii) log₁₀ 2x

Given 3 log x + $\dfrac{1}{2}$ log y = 2, express y in terms of x.

If log (5x - 4) - log (x + 1) = log 4, the value of x is :

1. 6

2. 8

3. 4

4. 12

If log x - log (2x - 1) = 1, the value of x is :

1. $\dfrac{19}{10}$

2. 19 × 10

3. $\dfrac{10}{19}$

4. $\dfrac{1}{19 \times 10}$