Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 11
What are the values of x and y that satisfy both the equations?
$$2^{0.7x} * 3^{-1.25y} = 8\sqrt{6}/27$$
$$4^{0.3x} * 9^{0.2y} = 8*81^{1/5}$$
Solution
$$2^{0.7x} * 3^{-1.25y} = 8\sqrt{6}/27$$ => $$2^{0.7x} * 3^{-1.25y}$$ = $$2^{3.5} * 3^{-2.5}$$
=> 0.7x = 3.5 => x = 5
=> -1.25y = -2.5 => y = 2
$$4^{0.3x} * 9^{0.2y} = 8*81^{1/5}$$ => $$2^{0.6x} * 3^{0.4y}$$ = $$2^3 * 3^{0.8}$$
=> 0.6x = 3 => x = 5
=> 0.4y = 0.8 => y = 2
=> (5,2) is the solution.
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 38+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Linear Equations QuestionsCAT Mensuration QuestionsCAT Time And Work QuestionsCAT Logarithms QuestionsCAT Percentages Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Venn Diagrams QuestionsCAT Puzzles QuestionsCAT Games and Tournamnents QuestionsCAT Data Interpretation QuestionsCAT Truth Lie Concept Questions
