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Question Number 130476 by shaker last updated on 26/Jan/21

	Answered by TheSupreme last updated on 26/Jan/21

	${(\frac{3}{5})}^{x} + {(\frac{4}{5})}^{x} = 1$ $f (x) = {(\frac{3}{5})}^{x} + {(\frac{4}{5})}^{x}$ $f^{'} (x) < 0 \forall x \in R$ $a t l e a s t 1 s o l f o r f (x_{0}) = y_{0}$ $3, 4 a n d 5 a r e a P i t a g o r e a n t r i p l e t, s o x = 2$ $3^{2} + 4^{2} = 5^{2}$ $s o w e h a v e t h a t x = 2 i s t h e o n l y o n e s o l u t i o n$
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