Question

O valor de x em x=log4 125 • log3 4 • log3 4​

Answer 1

$x=\big(\log_{4}{125}\big)\big(\log_3{4}\big)\big(\log_3{4}\big)$

$x=\bigg(\dfrac{\ln{5^3}}{\ln{2^2}}\bigg)\bigg(\dfrac{\ln{2^2}}{\ln{3}}\bigg)\bigg(\dfrac{\ln{2^2}}{\ln{3}}\bigg)$

$x=\dfrac{(3\ln{5})(2\ln{2})}{(\ln{3})(\ln{3})}$

$\boxed{x=\dfrac{6\ln{10}}{(\ln{3})^2}}$

$x\approx28.7552$