If X X X and Y Y Y are positive real numbers such that log ⁡ X ( X 2 + 12 ) = 4 \log_X (X^2 + 12) = 4 lo g X ​ ( X 2 + 12 ) = 4 and 3 log ⁡ Y X = 1 3\...

Question

If

XX
and
YY
are positive real numbers such that
logX(X2+12)=4\log_X (X^2 + 12) = 4
and
3logYX=13\log_Y X = 1
, then
X+YX + Y
equals:

Options

A.

20

B.

11

C.

68

D.

10

cat 2023logarithmic equationspositive real numbersproblem solving

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