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Q. If $\log _{1 / 5}(2 x-4)<\log _{1 / 5}(x+3)$ then

Continuity and Differentiability

Solution:

$\log _{1 / 5}(2 x-4) <\log _{1 / 5}(x+3) $
$2 x-4 >x+3 \Rightarrow x >7$