If ‘a’ is the characteristic of logarithm of number 0.005798 and ‘b’ is the characteristic of logarithm of number 352.256, then the value of b−a=

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If ‘a’ is the characteristic of logarithm of number 0.005798 and ‘b’ is the characteristic of logarithm of number 352.256, then the value of $b - a =$

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answer is 5.

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Detailed Solution

$a = \log 0.0005798 = - 3$

$b =$ characteristic of $\log 352 \cdot 256 = 2$

$b - a = 2 - (- 3) = 5$ .

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