Question

If ${\log }_{0.3}$x < ${\log }_{0.3}$ y. then x - y <0

• A. True
• B. False

Answer 1

The correct option is B

False

${\log }_{0.3}$x < ${\log }_{0.3}$ y

Since, base for the loglies between 0 to 1

Then ${\log }_{0.3}$x is a decreasing function

If value of x increases,

${\log }_{0.3}$x value should decrease.

Given ${\log }_{0.3}$x < ${\log }_{0.3}$y Then x should be greater then y.

x > y