# Logarithm-9

### From Homeworkwiki

**Evaluate (i) √3471 x 20.3 ^{2} (ii) 4671 X 3.467 / 252.4 X 16.3**

**Solution:** (i) Let x = √3471 X 20.3^{2}

Taking log on both sides,

log x = 1/2 log 3472 + 1/2 X 2 log 20.3

= 1/2 (3.5404) + 1.3074

= 1.7702 + 1.3074

= 3.0776

Taking antilogarithm = x = 1195.9

(ii) Let x = 4671 X 3.467 / 252.4 X 16.3

Taking log on both sides

log x = log 4671 + log 3.467 - log 252.4 - log 16.3

= 3.6694 + 0.5399 - 2.4020 - 1.2121

= 4.2093 - 3.6141

= 0.5952

Taking antilog = x = 3.9373