1.

If `6^(x-y)=36` and `3^(x+y)=729`, then find `x^(2)-y^(2)`.A. 12B. 4C. 24D. 8

Answer» Correct Answer - A
`6^(x-y)=36`
`6^(x-y)=6^(2)`
`:. x-y=2` (1)
and `3^(x+y)=3^(6) implies x+y=6` (2)
From (1) and (2), `x^(2)-y^(2)=12`.


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