Question

If log2 = 0. 3010 then log 20 =

Answer 1

Question :

  If log2 = 0. 3010 then log 20 = ?

Given :

  log 2 = 0.3010

To find :

   log 20

Solution :

   $log 20 \\\\ = log(2 \times 10) \\\\\\ \text{By using logarithm rule,}\\\\ log(mn) =logm+logn \\\\\\ =log 2 + log 10 \\\\ = 0.3010 +log10 \\\\ =0.3010+1 \ \ \ \ \ \ \ \ [log10=1]\\\\=1.3010$

=> log 20 = 1.3010

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LOGARITHM RULES :

• logₐ (mn) = logₐ m + logₐ n

• logₐ (m/n) = logₐ m - logₐ n

• logₐ pⁿ = n logₐ p

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Answer 2

Hope my answer is helpful to u