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

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justaguide eNotes educator| Certified Educator

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

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


=> `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`


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

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