The sum of all the natural numbers for w | vedclass

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Question

$x^{2}-14 x+45>0$

$\Rightarrow \mathrm{x} \in(-\infty, 5) \cup(9, \infty)$     $\ldots(1)$

$4-x>0 $ and $ 4-x 
eq 1 \Right

Vedclass · Accepted Answer

$3$

Vedclass · Answer

$x^{2}-14 x+45>0$

$\Rightarrow \mathrm{x} \in(-\infty, 5) \cup(9, \infty)$     $\ldots(1)$

$4-x>0 $ and $ 4-x 
eq 1 \Rightarrow x<4 $ and $ x 
eq 3 \dots(2)$

from $( 1)$ $\cap(2)$

$x \in(-\infty, 4)-\{3\}$

The sum of all the natural numbers for which $log_{(4-x)}(x^2 -14x + 45)$ is defined is -

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