Answer :

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


Let N = 0.2798


Divide N by 104 to remove decimal, we get



Multiply and Divide N by 1000, we get





Thus, scientific notation 0.2798 = 2.798 × 10–1


Consider,


log 0.2798 = log (2.798 × 10–1 )


= log 2.798 + log 10–1


(since, log (a×b) = log a + log b)


= log 2.798 + (–1)


(since, log 10n = n)


Thus characteristic of log 0.2798 is –1


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