Let a = 3√(2) and b = frac15^1/6√(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 _______.

Let a = 3√(2) and b = frac15^1/6√(6). If x,y ∈ R are such… — JEE Advanced 2024 Mathematics PYQ

JEE Advanced 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}} \quad \text{and} \quad 2x - y = \log_b\left(\sqrt{1080}\right),

then

4x+5y

is equal to _______.

Show answer

Answer: 8

[JEE Advanced 2024 · Paper 1]

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