# Logarithm-4

### From Homeworkwiki

**Evaluate correct to two decimal places √( 24.71 x 8.43 / 1.94 x 3.24)**

**Solution:** Let x = √( 24.71 x 8.43 / 1.94 x 3.24)

Taking logarithm on both sides,

log x = 1/2 [ log 24.71 + log 8.43 - log 16.94 - log 3.24 ]

= 1/2 [ log 1.3929 + 0.9258 - 1.2290 - 0.5105 ]

= 0.2896

Taking antilogarithm

x = 1.948

= 1.95 (correct to two places of decimal)