# Solve the following using log tables: [(5745) x (34570)] / 2413. Show your solution.Show step by step solution to explain the answer.

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Expert Answers

thilina-g | Certified Educator

`(5475 xx 34750)/(2413)`

This can be solved by taking log first and then after simplifying it taking the anti-log of it.

`log((5475 xx 34750)/(2413))`

This can be simplified into,

`log((5.475 xx 1000 xx 3.475 xx 10000)/(2.413 xx 1000))`

`log((5.475 xx 3.475 xx 10000)/(2.413))`

By applying logarithm rules,

`log((5.475 xx 3.475 xx 10000)/(2.413)) = 0.7383841+0.5409548+4 - 0.3825573`

`log((5475 xx 34750)/(2413)) = 4 + 0.8967816`

**Taking the anti-log,**

`(5475 xx 34750)/(2413) = 7.8846 xx 10000`

`(5475 xx 34750)/(2413) = 78846`

**Therefore the answer of `(5475 xx 34750)/(2413)` using log tables is 78846.**

**The answer using calculator is 78846.353**