1.

2.

 
                      ⇒x + 4 = 6 (x-1)

                      ⇒x + 4 = 6 x - 6   ⇒ 5 x - 10 = 0
                                              ⇒ x = ¹⁰/₅ = 2.

3. Prove that .

4. Prove that

5. Find the value of

6.

7.

8. Write the characteristic of the following

i. log 27. 91  ii. log 0. 02871

i. 27. 91  =  2. 791 × 10¹

 ∴ characteristic is 1

ii. 0.02871  = 2 . 87 × 10^-2

 ∴ characteristic is = -2.

9. Find log 86.76

86. 76 = 8. 676 × 10¹

log 8. 676    = 0.9380 + 0.0003

                    = 0. 9383

∴ log 86. 76 = 1. 9383.

10. Find log 730. 391

730.391 = 7.30391 × 10².

log 7.304 = 0.8633 + 0.0002

                = 0. 8635

∴ log 730. 391 = 2. 8635.