Home
Class 12
MATHS
Find the real solutions to the system of...

Find the real solutions to the system of equations `log_(10)(2000xy)-log_(10)x.log_(10)y=4` , `log_(10)(2yz)-log_(10)ylog_(10)z=1` and `log_(10)zx-log_(10)zlog_(10)x=0`

A

`x_1+x_2=101`

B

`y_1+y_2=25`

C

`x_1+x_2=100`

D

`z_1+z_2=100`

Text Solution

Verified by Experts

The correct Answer is:
A
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 real solutions to the system of equations log_(10)(2000xy)-log_(10)x.log_(10)y=4log_(10)(2yz)-log_(10)y log_(10)z=1 and log_(10)zx-log_(10)z log_(10)x=0

Find the real solution to the system of equation log_(10)(2000xy)-log_(10)x*log_(10)y=4,log_(10)(2yz)-log_(10)y*log_(10)z=1 and log_(10)(2x)-log_(10)x*log_(10)x=

Find domain of the function log_(10)log_(10)log_(10)log_(10)log_(10)x

log_(10){log10x}=1 then x

(1+(1)/(2x))log_(10)3+log_(10)2=log_(10)(27-sqrt(3))

(log_(10)x)^(2)+log_(10)x^(2)=(log_(10)2)^(2)-1

(log_(10)2)^(3)+log_(10)8*log_(10)5+(log_(10)5)^(3) is

Find the domain of log _(10)log_(10)log_(10)log_(10)x

Number of real solutions of the equation sqrt(log_(10)(-x))=log_(10)(sqrt(x^(2)))

Number of real solutions of the equation sqrt(log_(10)(-x))=log_(10)(sqrt(x)^(2))