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Updated On To keep watching this video solution for FREE, Download our App Answertex2^{x} = 3^{y} = 12^{z} = k/tex=>Note that (A) and (B) imply x2 = y2, and then from (D) we get x2 = y2 = 1 2 Use Lagrange multipliers to prove that a rectangle with maximum area, that has a given perimeter p, is a square Solution Let the sides of the rectangle be x and y, so the area is A(x;y) = xy The

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2^x=3^y=12^z then prove that x=2yz/y-z-Tex3^{y} = k/textex3 = bhardwajprashant543 bhardwajprashant543Correct answer to the question If 2^x=3^y=12^z, prove that x = 2yz/yz brainsanswersincom

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Posted by Shradha Suman Jena 2 years, 1 month ago CBSE > Class 09 > Mathematics 0 answers;Prove that (yzx^2,zxy^2,xyz^2),(zxy^2,xyz^2,yzx^2),(xyz^2,yzx^2,zxy^2) is divisible by (x y z) and hence find the quotient CBSE CBSE (Science) Class 12 Question Papers 1851 Textbook Solutions Important Solutions 4562 Question Bank Example 1 Example 2 Example 3 Example 4 Example 5

 prove that 2x3 2y3 2z3 6xyz Mathematics TopperLearningcom v780o2jj if x1/x=5,then find value of x^31/x^3 The valuesof 249square 248square is 729X3512y3 Factorise (abc)³a³b³c3 I need very urgently please answer as quickly as you canI If l, m, n are the direction cosines of a line, then prove that l 2 m 2 n 2 = 1 Hence find the direction angle of the line with the caxis which makes direction angles of 135 o and 45 o with Y and Z axes, respectively Solution Let ɑ, β, 𝞬 be the angles made by the line with X, Y, Z axes, respectively l = cos ɑ, m = cos β andYep, that can't be when you change 2(xyz)=3(xyz) to 2=3, you divide both paths of the equation by xyz, which, as you know is zero Division by zero is an illegal operation You can get all sorts of false results by dividing by

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 For the difference of two cubes, x 3 y 3 = (xy) (x 2 xyy 2) so again working backwards you get x (x 2 xyy 2 )y (x 2 xyy 2) expanding, x 3 x 2 yxy 2 x 2 yxy 2 y 3 So to factorize x 3 y 3 you would need to know that you have to add and subtract x 2 y and xy 2 from the expression and factorize from thereJoin / Login maths If 2x=3y=12z,show that z1 =y1 x2 Answer Let 2x=3y=12z=k Then, 2=k1/x,3=k1/yand 12=k1/z Now, 12=k1/z⇒22×3=k1/z ⇒(k1/x)2×k1/y=k1/z ∵2=k1/xand 3=k1/yIf 2^(x)=3^(y)=12^(z) , then what is (x2y)//(xy) equal to ?

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 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/z or, k^1/y1/x1/x = k^1/z or, k^1/y2/x = k^1/z or, 1/y2/x = 1/z or, x2y/xy = 1/z or, x2y = 1/z ×xy or, x2y = xy/z or, z(x2y) = xy or, zx 2yz = xy or, 2yz = xyzx or, 2yz = x(yz) or, x(yz) = 2yzHere are the seven steps 1 Pick a letter (If one of the equations has only two letters, choose the ` `letter that is missing) 2 Pick an equation that contains that letter 3 if 2 x 3 y 12 z then prove that xy z x 2y Mathematics TopperLearningcom 8v1liiww Starting early can help you score better!

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 But then the second equation becomes 3^(y/2) = 2^(x2) 1 This is an equation of the form 2^a = 3^b 1, and we are looking for integral solutions to such an equation This forces ##b\geq0## (for otherwise 2^a won't be an integer), which in turn implies that ##a\geq1## If 2^X=3^y=12^z then prove that x=2yz/yz (mn)power1 × (mpower1 n power1) = m power x×n power y then show that xy2=0 If a=xy^(p1), b=xy^(q1), c=xy^(r1), prove that a^(qr)×b^(rp) × c^(pq) = 1Click here👆to get an answer to your question ️ If 2^x = 3^y = 12^z , then find the value of z(x 2y)xy

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If 2 x = 3 y = 12 z, prove that x = 2yz/y – z Solution It is given that 2 x = 3 y = 12 z Consider 2 x = 3 y = 12 z = k Here 2 x = k where 2 = (k) 1/x 3 y = k where 3 = (k) 1/y 12 z = k where 12 = (k)1/z We know that 12 = 2 × 2 × 3 Therefore, it is proved 26 Simplify and express with positive exponents (3x 2) 0, (xy)2, (27aStep by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method xyz=3;2xy3z=3;x2y3z=0 Tiger Algebra SolverAnswered 2 years ago Author has 1 answers and 939K answer views So you are given, 2 x = 3 y = 12 z Let 2 x = 3 y = 12 z = c where c is some constant Now using the relations, 2

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Posted by Dakshal Bhavare 4 hours ago CBSE > Class 09 > MathematicsSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreJun 17,21 2 ^x =3^y=12^z prove that 1/z=1/y2^x EduRev Class 9 Question is disucussed on EduRev Study Group by 125 Class 9 Students

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Stepbystep solution100 % ( 35 ratings)for this solution Let Assume that and and or for some integer We have considered the following four cases Why are you adding 1 to x=3p or y =3q?Adding 1 or 2 to x=3p or y=3q shows that there is a remainder (the meaning of "3 not dividing x" or "3 not dividing yHence, at least one among x^2, y^2 and z^2 is divisible by 3 (by 9 actually, but we don't need that) If we consider the case when both x^2 and y^2 have a remainder 1 when divided by 3, then z^2 will have a remainder 2 when divided by 3 which is not possible So we have to prove that xyz=5p All squares give remainders 0,1 or 4 when divided by 5

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 m ( m 1) is the power of 2 if and only if m=1 (because G C D ( m, m 1) = 1 ) Therefore, 2^x1 =z^2 has one solution, and it is x = 3, z = 3 But there are other solutions, x = 0, y = 1, and z = 2 Also x = 4, y = 2, and z = 5 Share answeredNow, the logarithmic solution has been thoroughly explained I'll show a way to do this without them Givenmath2^x=3^y=12^z/math Required to prove mathxStep 3 Solve for y Plug the value of x (note x = 8) into one of the original equations to find y x y = 13 ←— an original equation 8 y = 13 y = 13 8 y = 5 Step 4 Plug the values of x and y into (x^4 y^4) (8)^4 (5)^4 4,096 625 = 3,471

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 25 If 2 x = 3 y = 12 z, prove that x = 2yz/y – z Solution It is given that 2 x = 3 y = 12 z Consider 2 x = 3 y = 12 z = k Here 2 x = k where 2 = (k) 1/x 3 y = k where 3 = (k) 1/y 12 z = k where 12 = (k)1/z We know that 12 = 2×2×3Avail 25% off on study pack Avail OfferAnswer by ichudov(507) (Show Source) You can put this solution on YOUR website!

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 If 4^x =7^y =112^ z then prove that 2/X 1/y =1/z a ships leaves port R, sails to S and then to port T the bearing from R is 112, the bearing of T from S is 33 and the distance is 75km and the distance RS is 56 a) draw the diagram showing the journey of the ship from R to TIf 2^x = 3^y = 12^z Show that 1/z =1/y 2/x Ask questions, doubts, problems and we will help you Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange

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