Question

Which of the following numbers has the positive value?

• A. ${\log }_{4}12$
• B. ${\log }_{0.3}0.1$
• C. ${\log }_{3}1.3$
• D. ${\log }_{7}0.6$

Answer 1

Answer: (A), (B), (C)

The correct options are
A ${\log }_{4}12$
B ${\log }_{0.3}0.1$
C ${\log }_{3}1.3$

${\log }_{4}12$



Here, $a=4,x=12$
${\log }_{4}12>0$

${\log }_{0.3}0.1$


Here, $a=0.3,x=0.1$
${\log }_{0.3}0.1>0$


${\log }_{3}1.3$


Here, $a=3,x=1.3$
${\log }_{3}1.3>0$


${\log }_{7}0.6$


Here, $a=7,x=0.6$
${\log }_{7}0.6<0$