Solve 1.4325×0.606272.14 with the help of log tables.

Let x=1.4325×0.606272.14. Taking logs of both sides, we get:log⁡x=log⁡1.43251+log⁡0.6062−log⁡72.14         =0.1559+1¯.7826−1.8581         =0.1559−1+0.7826−1−0.8581         =−1.9196Here mantissa is negative. To make it positive, we subtract 1 and add 1. So, we have:     log⁡x=−1−1+1−0.9196=2¯.0804.Taking antilog of both sides, we get : x= antilog 2¯.0804=0.01203 Ans.Second method. By the use of calculator, we have       log⁡x=log⁡1.4325+log⁡0.6062−log⁡72.14=0.1559−0.2174−1.8582=−1.9197Here mantissa is negative. To make it positive, we subtract 1 and add 1. So, we have:          log⁡x=−1−1+1−0.9197=2¯.0803Taking antilog of both sides, we get,            x=antilog 2¯.0803=0.01203 Ans.