Home
Class 12
MATHS
There are 3 number a, b and c such that ...

There are 3 number a, b and c such that ` log_(10) a = 5.71, log_(10) b = 6.23 and log_(10) c = 7.89`. Find the number of digits before decimal in ` (ab^(2))/c`.

Text Solution

Verified by Experts

The correct Answer is:
11
`N = (ab^(2))/c`
`:. Log_(10) N = log_(10) a+ 2log_(10) b - log_(10) c = 10.28`
So, characteristic of N is 10`.
So, number of digits before decimal is 11.
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercises (Single Correct Answer Type)|50 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|18 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.5|13 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

If log_(10)2=0.30103, log_(10)3=0.47712 and log_(10)7=0.84510 find the values of log_(10) 45

If log_(10)2=0.30103, log_(10)3=0.47712 and log_(10)7=0.84510 find the values of log_(10)105

If three positive real number a,b and c are in G.P show that log a , log b and log c are in A.P

If (log)_(10)2=0. 30103 ,(log)_(10)3=0. 47712 , then find the number of digits in 3^(12)*2^8

Show that log_(b)a xx log_(c )b xx log_(d)c = log_(d)a .

Solve : (iv) log_(10)x - log_(10)sqrt(x) = 2/(log_(10)x)

If log_(a)b=10 and log_(6a)(32b)=5 find the value of a

Find the number of digits in 4^(2013) , if log_(10) 2 = 0.3010.

If log_(10)2=0.30103 find the value of log_(5)32

If 1/(log_(x)10) = 2/(log_(0.5)10) , then find the value of x.