Other Maths · JEE Advanced previous year questions

2024 1 question

1. Q82024 · 26 May 2024 · Paper 1· Numerical answer

   Let $a=3\sqrt{2}$ and $b=\frac{1}{5^{1/6}\sqrt{6}}$. If $x,y\in \mathbb{R}$ are such that $$3x+2y={\log }_a(18{)}^{\frac{5}{4}}\text{and}$$ $$2x-y={\log }_b(\sqrt{1080}),$$ then $4x+5y$ is equal to _____.

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   Answer: 8