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Question Number 186867 by Mingma last updated on 11/Feb/23

Answered by aba last updated on 11/Feb/23

$$x=-5$$$${(1-\frac{1}{5})}^{-4}={\left(\frac{5}{4}\right)}^4={(1+\frac{1}{4})}^4$$

Commented by Mingma last updated on 11/Feb/23

Good!

Answered by aba last updated on 11/Feb/23

$${(1+\frac{1}{x})}^{x+1}={(1+\frac{1}{4})}^4\Rightarrow {(1+\frac{1}{x})}^{x+1}={(1-\frac{1}{5})}^{-5+1}$$$$\Rightarrow x=-5$$

Commented by Mingma last updated on 11/Feb/23

Good!

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