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

log 2.375

Mantissa: Every logarithm consist of a fractional part called the mantissa.

Here, The mantissa of log 23750 is 0.3756

Consider,

log 2.375 = log (2.375 × 10⁰ )

= log 2.375 + log 10⁰

(since, log (a×b) = log a + log b)

= log 2.375 + 0

(since, log 10ⁿ = n)

Thus characteristic of log 2.375 is 0

Thus, Value of log 2.375 = 0 + 0.3756 = 0.3756