How do we multiply $0.8176$ $0.8176$ and $13.64$ $13.64$ using logarithm?

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Answer 1 · 2018-02-15T06:42:35

$0.8176 \times 13.64 = 11.1521$ $0.8176xx13.64=11.1521$

$log (0.8176 \times 13.64)$ $log(0.8176xx13.64)$

= $log 0.8176 + log 13.64$ $log0.8176+log13.64$

= $¯ 1 .912541 + 1.134814$ $bar(1).912541+1.134814$

= $1.047355$ $1.047355$

Hence $0.8176 \times 13.64 = 10^{1.047355} = 11.1521$ $0.8176xx13.64=10^1.047355=11.1521$

Note $-$ $-$ $A n t i log 1.047355$ $Antilog1.047355$ is same thing as $10^{1.047355}$ $10^1.047355$

How do we multiply 0.81760.81760.8176 and 13.6413.6413.64 using logarithm?