Home
Class 12
MATHS
Given that log(2)3=a,log(3)5=b,log(7)2=c...

Given that `log_(2)3=a,log_(3)5=b,log_(7)2=c`, express the logaithm of the number 63 to the base 140 in terms of a,b and c.

A

`(2+ac)/(2c+1+abc)`

B

`(1+2ac)/(c+2+abc)`

C

`(1+2ac)/(2c+1+abc)`

D

`(2+ac)/(c+2+abc)`

Text Solution

Verified by Experts

The correct Answer is:
C
`log_(140)63=(log_(7)7+2log_(7)3)/(2log_(7)2+log_(7)7+log_(7)5)`
`=(1+2ac)/(2c+1+abc)`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE ENGLISH|Exercise Subjective Type|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE ENGLISH|Exercise DPP 1.2|10 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise JEE ADVANCED|1 Videos

Similar Questions

Explore conceptually related problems

Given that log_2(3)=a,log_3(5)=b,log_7(2)=c , express the logrithm of the number 63 to the base 140 in terms of a,b & c.

log_(2)a = 3, log_(3)b = 2, log_(4) c = 1 Find the value of 3a + 2b - 10c

If log_(b)5=a,log_(b)2.5=c,and5^(x)=2.5 , then x=

If log_(3)4=a , log_(5)3=b , then find the value of log_(3)10 in terms of a and b.

Given log_(10)2 = a and log_(10)3 = b . If 3^(x+2) = 45 , then the value of x in terms of a and b is-

Given log_(2)x = m and log_(5) y = n (i) Express 2^(m-3) in terms of x. (ii) Express 5^(3n + 2) in terms of y.

If log_(a)3 = 2 and log_(b)8= 3 , then log_(a)(b) is-

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

If log(a+c)+log(a+c-2b)=2log(a-c) then