1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T490,{"@context":"https://schema.org","@type":"QAPage","name":"What are the values of x and y that satisfy the equation, 2^0.7x . 3^…","url":"https://vidyalelo.com/practice-question/what-are-the-values-of-x-and-y-that-satisfy-the-equation-2-power-07x-3-power-1-25y-frac-8-sqrt-6-27-1-89200","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Surds And Indices","mainEntity":{"@type":"Question","name":"What are the values of x and y that satisfy the equation, 2^0.7x . 3^…","text":"What are the values of x and y that satisfy the equation, 2^0.7x . 3^ - 1.25y = 8 6 27 ?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option D. x = 5, y = 2. Answer & Solution Answer: Option D Solution: & 2^0.7x . 3^ - 1.25y = 8 6 27 & 2^0.7x 3^ 1.25y = 2^3.2^1/2.3^1/23^3 & 2^ ( 3 + 1/2 )3^ ( 3 - 1/2 ) = 2^7/22^5/2 = 2^3.53^2.5 & 0.7x = 3.5 x = 3.50.7 = 5 & and 1.25y = 2.5 & y = 2.51.25 = 2"}}}1d:T427,

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & {{\text{2}}^{0.7x}}{\text{.}}{{\text{3}}^{ - 1.25y}}{\text{ = }}\frac{{8\sqrt 6 }}{{27}} \cr & \Leftrightarrow \frac{{{{\text