solve-for-x-1-1-x-x-1-1-1-10-10-

Question Number 170520 by mr W last updated on 25/May/22

s o l v e f o r x

{(1 + \frac{1}{x})}^{x + 1} = {(1 + \frac{1}{10})}^{10}

Commented by mr W last updated on 26/May/22

y e s . s h o w h o w y o u g o t ?

Commented by cortano1 last updated on 25/May/22

x = - 11 ?

Answered by robertocaesar last updated on 26/May/22

{(\frac{x + 1}{x})}^{x + 1} = \dots .

{(\frac{x}{x + 1})}^{- (x + 1)} = \dots .

{(1 - \frac{1}{x + 1})}^{- (x + 1)} = \dots .

{(1 + \frac{1}{- (x + 1)})}^{- (x + 1)} = {(1 + \frac{1}{10})}^{10}

\Rightarrow x = - 11

Commented by mr W last updated on 26/May/22

t h a n k s!

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