25. Find the value of x in the foll...
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25. Find the value of x in the following expression. (1) 0 (21 (3) (4)

11th - 12th Class
Maths
Solution
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25. ( (1)left(frac{2}{3}right)^{-6} timesleft(frac{2}{3}right)^{3}=left(frac{2}{3}right)^{2 x-3} ) ( Rightarrow quadleft(frac{2}{3}right)^{-6+3}=left(frac{2}{3}right)^{2 x-3} ) ( Rightarrow quadleft(frac{2}{3}right)^{-3}=left(frac{2}{3}right)^{2 x-3} ) Comparing the indices absolute. ( -3=2 x-3 Rightarrow 2 x=-3+3 ) ( Rightarrow quad 2 x=0 ) ( Rightarrow quad x=0 )
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