Write the characteristic of each of the following

log 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