JEE Advanced 2024 Paper 1 Mathematics Q8

Mathematics

Problem

Let a = 3√2 and b = 1/(5^(1/6)√6). If x, y ∈ ℝ are such that 3x + 2y = logₐ((18)^(5/4)) and 2x − y = log_b(√1080), then 4x + 5y is equal to ________.