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`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation log_(0.5)x=|x| is

Solve the system of equations log_2y=log_4(xy-2),log_9x^2+log_3(x-y)=1 .

Find the relation between x and y: log_(10)x+(1)/(2)log_(10)x+(1)/(4)log_(10)x+"...."=y "

If log_(10)5=a and log_(10)3=b ,then

Solve the equation: log_(x)^(3)10-6log_(x)^(2)10+11log_(x)10-6=0

Solve the system of equation 2^(sqrtx+sqrty)=256 and log_10sqrt(xy)-log_10(3/2)=1 .

Find all real numbers x which satisty the equation. 2log_2log_2x+log_(1/2)log_2(2sqrt2x)=1

Find domain of the function log_10 log_10 log_10 log_10 x

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has

Solve the equation log_(((2+x)/10))7=log_((2/(x+1)))7 .