JEE Advanced 2024 question 8 paper 1 solution | 3x+2y=log(a)(18^(5/4)) and 2x-y=log(b)(√1080)

JEE Advanced 2024, Paper-1, Q. No. (8)
JEE Advanced 2024 question paper solution
Logarithm JEE Advanced question
JEE Advanced log question

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

3x+2y=log (18^(5/4)) to the base a
2x-y=log (√1080) to the base b

3x+2y=log [(a)^((18)^(5/4))]
2x-y=log [(b)^(√1080)]