Question

plzzzzzz
ans fast i will mark as a brainliest

Answer 1

Cross multiply and use power law of logarithms, then take logs of both sides:

$\frac{\log (x)}{2} = \frac{\log (y)}{3}$

$\iff 3\log (x) = 2\log (y)$

$\iff \log (x^{3}) = \log (y^{2})$

$\iff x^{3} = y^{2}$

$\iff \frac{y^{2}}{x^{3}} = 1$

$\implies \frac{y^{4}}{x^{6}} = 1^{2} = \underline{\underline{1}}.$