Question

Let $a=3\sqrt2$ and $b=\frac{1}{5^{1/6}\sqrt5}$. If x, y ∈ R are such that
$3x+2y=\log_a(18)^{\frac{5}{4}}$ and
$2x-y=\log_b(\sqrt{1080})$,
then 4x + 5y is equal to _______.

Answer 1

The correct answer is: 8.