Write the characteristic of each of the following

log 24.56

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

Let N = 24.56

Divide N by 100 to remove decimal, we get

Multiply and Divide N by 1000, we get

Thus, scientific notation 24.56 = 2.456 × 10¹

Consider,

log 24.56 = log (2.456 × 10¹ )

= log 2.456 + log 10¹

(since, log (a×b) = log a + log b)

= log 2.456 + 1 (since, log 10ⁿ = n)

Thus characteristic of log 24.56 is 1