Question

Determine the signs of the following numbers.
$lo{g}_{3}4-lo{g}_{4}3$

Answer 1

Since, $4>3$

Hence,

${\log }_{3}4>0$ and ${\log }_{4}3<0$

Hence, $-{\log }_{4}3>0$

$⟹{\log }_{3}4+(-{\log }_{4}3)>0$

$⟹{\log }_{3}4-{\log }_{4}3>0$

The sign of the given equation is positive.