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 If 2^x= 3y=12^z,prove that x=2yz/yz 1 See answer anirbandas is waiting for your help Add your answer and earn points mishranilesh1 mishranilesh1 Stepbystep explanation solution Here, given, 2^x = 3^y = 12^z = k(let) then, 2^x=k 2 = k^1/x 3^y=k 3 = k^1/y and 12^z=k 12 = k^1/z or, 3×4 = k^1/z or, k^1/y × 2 x 2 = k^1/z or, k^1/y × k^1/x × k^1/x = k^1/zIf 2^(x)=3^(y)=12^(z) , then what is (x2y)//(xy) equal to ?(Edited for clarity) By dividing the left side in this manner, with an arbitrary number of 2s in one factor, and the remaining 2s in the other factor, we can then divide the

 Prove x3 y3 z3 3xyz = ½(x y z) (xy)2 (yz)2 (zx)2 Prove x 3 y 3 If the polynomial k 2 x 3 − kx 2 3kx k is exactly divisible by (x3) then the positive value of k is ____ formula of polynomials Questions; Using properties of determinants, prove that following (x,xy,x2y)(x2y,x,xy)(xy,x2y,x) =9y^2(xy) asked in Mathematics by Aria (60k points) determinant; Question If 2x = 3y = 6z then Prove that 1/x 1/y 1/z=0 Solution 2x = 6 z Þ 2 = 6z/x (i) 3y = 6 z Þ 3 = 6z/y (ii) Multiplying (i)and(ii) 2x3 = 6z/x x 6z/y 61 = 6z/x z/y Þ1 = (z/x) (z/y) Þ1= z(1/x 1/y) Þ1/z = 1/x 1/y Þ 1/x 1/y 1/z = 0 29 Comments princess 8/6/14 pm Thnx It was very helpful Reply Abhishek 24/2/ 0013 am Nice

 Prove that `{(x^(2),,x^(2)(yz)^(2),,yz),(y^(2),,y^(2)(zx)^(2),,zx),(z^(2),,z^(2)(xy)^(2),,xy)}` `=(xy) (yz) (zx)(xyz) (x^(2)y^(2)z^(2))`Then we just have to show that $(xyz)^2(yzzxxy)^2 \leq 3(x^2y^2)(x^2z^2)(y^2z^2)$ if that is even true inequality contestmath Share Cite Follow edited Sep 2 ' at 1145 Arnaud D 198k 6 6 gold badges 32 32 silver badges 49 49 bronze badges asked Feb 19 '16 at 1909 Puzzled417 Puzzled417 6,696 10 10 silver badges 33 33 bronze badges $\endgroup$ 10 2 $\begingroup$I am assuming the question is math\dfrac{x1}{y} = \dfrac{y1}{z} = \dfrac{z1}{x}/math If so, let math\dfrac{x1}{y} = \dfrac{y1}{z} = \dfrac{z1}{x} = k

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