[tex]x=\big(\log_{4}{125}\big)\big(\log_3{4}\big)\big(\log_3{4}\big)[/tex]
[tex]x=\bigg(\dfrac{\ln{5^3}}{\ln{2^2}}\bigg)\bigg(\dfrac{\ln{2^2}}{\ln{3}}\bigg)\bigg(\dfrac{\ln{2^2}}{\ln{3}}\bigg)[/tex]
[tex]x=\dfrac{(3\ln{5})(2\ln{2})}{(\ln{3})(\ln{3})}[/tex]
[tex]\boxed{x=\dfrac{6\ln{10}}{(\ln{3})^2}}[/tex]
[tex]x\approx28.7552[/tex]