Number of ordered pair (s) (x,y) satisfying the system of equations
`2log(x^(2)+y^(2))-log5=log{2(x^(2)+y^(2))+75}and log((x)/(3))+log(5y) =1+log2, is`

Let ordered pair (alpha,beta) satisfying the system of equations 2log(x^(2)+y^(2))-log5=log{2(x^(2)+y^(2))+75} and log((x)/(3))+log(5y)=1+log2 then (A) number of such ordered pair is 2(B)alpha^(2)+beta^(2)=25(C)alpha& beta are prime numbers 'D)alpha & beta are coprime numbers

Let ordered pair (alpha, beta) satisfying the system of equations 2 log (x^2+ y^2)- log5= log{2(x^2+ y^2) +75} and log(x/3)+ log (5y)= 1 +log 2 then (A) number of such ordered pair is 2 (B) alpha^2+beta^2=25 (C)alpha & beta are prime numbers (D)alpha & beta are coprime numbers

Number of ordered pair (s) of (x,y) satisfying the system of equations,log_(2)xy=5 and (log_((1)/(2)))(x)/(y)=1 is :

Find the number of integral ordered pairs (x,y) satisfying the equation log(3x+2y)=logx+logy.

The number of ordered pair(s) of (x, y) satisfying the equations log_((1+x))(1-2y+y^(2))+log_((1-y))(1+2x+x^(2))=4 and log_((1+x))(1+2y)+log_((1-y))(1+2x)=2

The number of ordered pair(s) of (x, y) satisfying the equations log_((1+x))(1-2y+y^(2))+log_((1-y))(1+2x+x^(2))=4 and log_((1+x))(1+2y)+log_((1-y))(1+2x)=2

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

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

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