Home
Class 9
MATHS
Simplify : 1/(log(ab)(abc)) + 1/(log(bc)...

Simplify : `1/(log_(ab)(abc)) + 1/(log_(bc)(abc))+1/(log_(ca)(abc))`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (Long-answer type questions)|49 Videos
  • LOGARITHM

    CALCUTTA BOOK HOUSE|Exercise Exercise - 7 (MCQ)|10 Videos
  • LINEAR EQUATIONS IN REAL PROBLEMS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos
  • POLYNOMIALS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.4|52 Videos

Similar Questions

Explore conceptually related problems

Simplify: 1/(1+(log)_a b c)+1/(1+(log)_b c a)+1/(1+(log)_c a b)

Show that (1)/(log_(a)bc+1)+(1)/(log_(b)ca+1)+(1)/(log_(c )ab+1)=1

Prove that (v) 1/(log_(xy)(xyz)) + 1/(log_(yz)(xyz)) + 1/(log_(zx)(xyz)) = 2

log_(3)(1/81) =

If x=1 + log_(a)(bc) , y=1 +log_(b)(ca) and z=1+ log_(c )(ab) prove that xy+yz+zx=xyz

Prove that : (viii) (log_(a)x)/(log_(ab)x) = 1+log_(a)b .

If x = log_(a)^(bc) , y = log_(b)^(ca) and z = log_(c)^(ab) then show that frac(1)(x+1)+frac(1)(y+1)+frac(1)(z+1) = 1 , [abc ne 1]

If x = log_(a)(bc), y = log_(b)(ca), z = log_(c)(ab) , then find 1/(x+1) + 1/(y+1) + 1/(z+1)

Prove that (vi) log((a^2)/(bc)) + log ((b^2)/(ca)) + log ((c^2)/(ab)) = 0

Prove that log(a^(2)/(bc))+log(b^(2)/(ca))+log(c^(2)/(ab))=0