Home
Class 12
MATHS
Find the square of the sum of the roots ...

Find the square of the sum of the roots of the equation `log_3x*log_4x*log_5x=log_3x*log_4x+log_4x*log_5x+log_3x*log_5x`

Text Solution

Verified by Experts

The correct Answer is:
961
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

FInd the square of the sum of the roots of the equation log_3x.log_4x.log_5x=log_3x.log_4x+ log_4x.log_5x +log_5x.log_3x

Find the square of the sum of the roots of the equation log_(3)x*log_(4)x*log_(5)x=log_(3)x*log_(4)x+log_(5)x*log_(3)x

Find the square of the sum of the roots of the equation log_(3)x.log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x. log_(5)x+log_(5)x.log_(3)x

The number of solutions of equation log_(3)x log_(4)x log_(5)x=log_(3)x log_(4)x+log_(5)x

The set of all solutions of the equation log_(3)x log_(4)x log_(5)x=log_(3)x log_(4)x+log_(4)x log_(5)x+log_(5)x+log_(3)x is

The set of all solutions of the equation log_(3)x log_(4)x log_(3)x=log_(3)x log_(4)x+log_(4)x log_(5)x+log_(5)x log_(3)x is

The sum of solutions of the equation log_(2)x log_(4)x log_(6)x=log_(2)x*log_(4)x+log_(4)x log_(6)x+log_(6)x*log_(2)x is equal to

Solve : log_(3)x . log_(4)x.log_(5)x=log_(3)x.log_(4)x+log_(4)x.log_(5)+log_(5)x.log_(3)x .

Find positive no.x which satisfy the equation log_(3)x*log_(4)x(log_(5)x-1)=log_(5)x*(log_(4)x+log_(3)x)

The sum of all the roots of the equation log_(2)(x-1)+log_(2)(x+2)-log_(2)(3x-1)=log_(2)4