Evaluate:

0.3421 ÷ 0.09782

Let x = 0.3421 ÷ 0.09782

Taking log on both side we get,

⇒ logx = log (0.3421 ÷ 0.09782)

= log 0.3421 – log 0.09782 (since, log a÷b = log a –log b)

= ̅0.4658 – ̅1.00957

= –0.04658 – (–1.00957)

= –0.04658 + 1.00957

=0.54377

⇒ logx = 0.54377

⇒ x = antilog 0.54377= 3.497