# Solve the following using log tables: [(6000) / (34570)] x 32150. Show your solution.

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Expert Answers

thilina-g | Certified Educator

`log ((6000xx32150)/34750)`

We can simplify this as,

`log ((24xx250xx1286xx25)/(139xx250))`

`log ((24xx1286xx25)/139)`

`log ((6xx1.286xx1000xx100)/(1.39xx100))`

`log ((6xx1.286xx1000)/1.39)`

By applying logarithm laws,

`log ((6xx1.286xx1000)/1.39) = log 6+ log 1.286+log 1000 - log 1.39`

= 0.7781513 + 0.1092409+3 -0.1430148

=3.7443774

`log ((6000xx32150)/34750) = 3 + 0.7443774`

Taking anti log,

`(6000xx32150)/34750 = 5.551 xx 10^3`

`(6000xx32150)/34750 = 5551`

**The answer using log tables is 5551.**

**The answer using the calculator is 5551.079137.**