Test Index

Logarithms

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Question : 19 of 85

Marks: +1, -0

The characteristic in

\log (6.7472 \times 10^{-5})

is

$-4$
$-6$
$-5$
$5$

Solution:

Concept:

The characteristic of a logarithm is the integer part when the number is expressed in scientific notation.

Explanation:

For a number written as

a \times 10^n

where

1 \le a < 10

,

\log = n + \log a

.

Since

\log a

is between

0

and

1

, the integer part is

n

.

Here,

6.7472 \times 10^{-5}

gives

n = -5

.

Thus the characteristic is

-5

.

Answer:

The characteristic is

-5

.

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