37. Solve log; (3* – 8) =2-X (a) x ...
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37. Solve log; (3* – 8) =2-X (a) x = 2 (b) x = 3

JEE/Engineering Exams
Maths
Solution
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( 3^{x}-8=3^{2-x} ) ( 3^{2 x}-83^{x}-9=0 ) ( 3^{x}=a ) ( a^{2}-8 a-9=0 ) ( a=frac{8 pm sqrt{64+3 b}}{2} ) ( frac{28 pm 10}{2} quad a=9 ) ( frac{a^{2}}{3^{x}=9} ) ( x=2 ) for
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