Q. 2 A5.0( 1 Vote )

# Write the characteristic of each of the following

log 4576

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 × 10^{3}

Consider,

log 4576 = log (4.576 × 10^{3} )

= log 4.576 + log 10^{3}

(since, log (a×b) = log a + log b)

= log 4.576 + 3 (since, log 10^{n} = n)

Thus characteristic of log 4576 is 3

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