Solving JEE Advanced 2024 Question- Theory Of Equation | Bhaskar Maths Classes

Question: Let 𝑎=3√2 and 𝑏=1/(5^(1⁄6) √6). If 𝑥,𝑦∈ℝ are such that 3𝑥+2𝑦=log_𝑎⁡〖(18)^(5/4) 〗 and
2𝑥−𝑦=log_𝑏⁡(√1080), then 4𝑥+5𝑦 is equal to ___________.
[ JEE Advanced 2024 Paper1 (Online) ]
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