1. Miscellaneous examples 1. Given that a = log 10 2 and b = log 10 5, find expressions in terms of a and b for: (i) log 10 2.5 (ii) log 10 40 (iii) log 10 50 (i) = b - a (ii) = 3a - b (iii) = a + 2b

2. Miscellaneous examples Find, to an appropriate degree of accuracy, the value of x for which: (i) 5 log 2 x – 12 = 0 (ii) log 2 x 2 – 4 log 2 x = 8 (i) x = 5.28 (ii)

3. Miscellaneous examples Solve 3 + 2log 2 x = log 2 (10x – 3)

4. Miscellaneous examples Solve 2(5 2x ) – 5 x = 6 Let y = 5 x Not possible 0.413

5. Miscellaneous examples Find the values of x for which log 2 (3x +5) + log 4 16 = 5

6. Miscellaneous examples Find the equation log 4 (x + 1) – log 4 (x – 3) = 2