find the range of values of k for which the equation e^x −5=k has no solution


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Question Number 116722 by ayenisamuel last updated on 06/Oct/20

$f i n d t h e r a n g e o f v a l u e s o f k f o r$ $w h i c h t h e e q u a t i o n e^{x} - 5 = k h a s n o$ $s o l u t i o n$
	Answered by Rio Michael last updated on 06/Oct/20

	$e^{x} - 5 = k$ $\Rightarrow e^{x} = k + 5$ $x = \ln (k + 5)$ $for no solution, k + 5 ⩽ 0 \Rightarrow k ⩽ - 5$
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