Q. 4 D5.0( 1 Vote )

# Using logarithmic table find the value of the following.log 0.001364

Let N = 0.001364

Divide N by 106 to remove decimal, we get

Multiply and Divide N by 1000, we get

Thus, scientific notation 0.001364 = 1.364 × 10–3

Consider,

log 0.001364 = log (1.364 × 10–3 )

= log 1.364 + log 10–3

(since, log (a×b) = log a + log b)

= log 1.364 + (–3)

(since, log 10n = n)

Thus characteristic of log 1.364 is –3

From the table log 1.36 = 0.1335

Mean difference of 4 is 0.0013

Thus, Mantissa of log 0.001364 = 0.1335+0.0013 = 0.1348

Thus, Value of log 0.001364 = –3 + 0.1348 = ̅3.1348

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Smart Revision | Rapidly Revising Exponents of Real Numbers53 mins
Foundation | Logarithms43 mins
Quiz on Irrational Numbers31 mins
Quiz | Irrational Numbers and its Operations45 mins
Smart Revision | Master Rational and Irrational Numbers58 mins
Converting Recurring Numbers in Rational Form48 mins
The Curious Case of Irrational Numbers43 mins
Introduction to Irrational Numbers50 mins
RD Sharma | Factorization of Algebraic Expression42 mins
Irrational numbers on Number line32 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses