Write the characteristic of each of the following

log 0.0756

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

Let N = 0.0756

Divide N by 10⁴ to remove decimal, we get

Multiply and Divide N by 100, we get

Thus, scientific notation 0.0756 = 7.56 × 10^–2

Consider,

log 0.0756 = log (7.56 × 10^–2 )

= log 7.56 + log 10^–2

(since, log (a×b) = log a + log b)

= log 7.56 + (–2)

(since, log 10ⁿ = n)

Thus characteristic of log 0.0756 is –2