Solve 1.4325×0.606272.14 with the help of log tables.

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Detailed Solution

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.

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