[" If "(x_(1),y_(1))" and "(x_(2),y_(2))" are the solution of the system of "],[" equation log "_(22)(x)+log_(4)(y)=4,log_(1)(25)-log_(3)(64)=1],[" then find the value of "log_(10)(x_(1)y_(1)y_(1)x_(2)y_(2))]

If (x_(1),y_(1)) and (x_(2),y_(2)) are the solution of the system of equation log_(225)(x)+log_(64)(y)=4 and log_(x)(225)-log_(y)(64)=1, then show that the value of log_(30)(x_(1)y_(1)x_(2)y_(2))=12

1+log_(x)y=log_(2)y

If the ordered pairs (x_(1), y_(1)) and (x_(2), y_(2)) satisfying the system of equations log_(10)y-log_(10)|x|=log_(100)4 and log_(100)|x+y|=1/2 , find the value of (x_(1)+x_(2)+y_(1)+y_(2))

The solutions to the system of equations log_(5)x+log_(27)y=4 and log_(x)5-log_(y)(27)=1 are (x_(1),y_(1)) and (x_(2),y_(2)) then log_(15)(x_(1)x_(2)y_(1)y2) is

If (x_(1),y_(1))&(x_(2),y_(2)) are the solutions of the equaltions,log_(225)(x)+log_(64)(y)=4 and log_(x)(225)-log_(y)(64)=1log_(225)x_(1).log_(225)x_(2)=4 b.log_(225)x_(1)+log_(225)x_(2)=6c|log_(64)y_(1)-log_(64)y_(2)|=2sqrt(5)d*log_(30)(x_(1)x_(2)y_(1)y_(2))=12

log(x-y)-log5-(1)/(2)log x-(1)/(2)log y=0 then find the value of (y)/(x)+(x)/(y)=?

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=

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).