Solve:`log_axlog_a(xyz)=48`;`log_aylog_a(xyz)=12`;`log_azlog_a(xyz)=84

1.	Solve:`log_axlog_a(xyz)=48`;`log_aylog_a(xyz)=12`;`log_azlog_a(xyz)=84`
Answer» Correct Answer - `x=a^(4),y=a,z=a^(7)` Adding given equations `log_(a)(xyz)[log_(a)x +log_(a)y+log_(a)z]=144` `rArr log_(a)(xyz)=(144)^(1//2)=12` `rArr xyz = a^(12)` From `log_(a)x log_(a)(xyz)=48` `rArr (log_(a)x)(12)=48` `rArr log_(a)x=4` `rArr =a^(4)` Similary y = a and `z=a^(7)`

Discussion

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