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# Write the characteristic of each of the followinglog 4576

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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