Q2 of 124 Page 37

Write the characteristic of each of the following
log 6.453

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

Consider,

log 6.453 = lo

g (6.453 × 10⁰ )

= log 6.453 + log 10⁰

(since, log (a×b) = log a + log b)

= log 6.453 + 0

(since, log 10ⁿ = n)

Thus characteristic of log 6.453 is 0

Write the characteristic of each of the following

log 0.0756

Write the characteristic of each of the following

log 0.2798

The mantissa of log 23750 is 0.3756. Find the value of the following.

log 23750

The mantissa of log 23750 is 0.3756. Find the value of the following.

log 23.75

Questions · 124

2. Scientific notations of real numbers and logarithms

1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10

Write the characteristic of each of the followinglog 6.453