U U xy 25. If 3* = 5y = (75)2, show...
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U U xy 25. If 3* = 5y = (75)2, show that z = my 2x + y

11th - 12th Class
Maths
Solution
177
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( 3^{x}=5 x^{y}=(75)^{z}=left(3 x^{5}right)^{z} ) so, ( 3^{x} times 5^{y}=(75)^{2} times(75)^{frac{1}{2}} 3^{2} cdot 5^{2 z} ) So [ begin{array}{l} x=3^{22} cdot 5^{4 z} y=4 z end{array} ] [ begin{aligned} x y &=2 z times 4 z &=8 z^{2} 2 x+y &=4 z+4 z &=8 z 50, & frac{x y}{2 x+y}=frac{8 z^{7}}{8 k}=z end{aligned} ] Kenel it is proved
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