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Determine the value of `log((1252*32.15)^2`

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spock2 | Student, Undergraduate | Honors

Posted May 26, 2012 at 7:26 PM via web

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Determine the value of `log((1252*32.15)^2`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 26, 2012 at 7:32 PM (Answer #1)

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The value of `log(1252*31.15)^2` has to be determined.

Use the property `log a^b = b*log a`

`log(1252*31.15)^2`

=> `2*log(1252*31.15)`

Use the property `log(a*b) = log a + log b`

=> `2*log 1252 + 2*log 31.25`

Assuming the base of the logarithm is 10 and taking the values from a log table

=> `2*3.09 + 2*1.49`

`~~9.18`

The value of `log(1252*31.15)^2 ~~ 9.18`

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