Answer :

Characteristic: In a scientific number, the power of 10 determines the characteristic.


Let N = 4576


Multiply and Divide N by 1000, we get





Thus, scientific notation of 4576 = 4.576 × 103


Consider,


log 4576 = log (4.576 × 103 )


= log 4.576 + log 103


(since, log (a×b) = log a + log b)


= log 4.576 + 3 (since, log 10n = n)


Thus characteristic of log 4576 is 3


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