solve: 2^x +3^x =5^x


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Question Number 167682 by bounhome last updated on 22/Mar/22

$s o l v e : 2^{x} + 3^{x} = 5^{x}$
Commented by mr W last updated on 22/Mar/22

$i s i t n o t t o s e e t h a t x = 1 ?$
	Answered by HeferH last updated on 22/Mar/22

	$2^{x} = 5^{x} - 3^{x}$ $1 = {(\frac{3 + 2}{2})}^{x} - {(\frac{3}{2})}^{x}$ ${(\frac{3}{2})}^{x} + 1 = {(\frac{3}{2} + 1)}^{x}$ $x = 1$
	Commented by Rasheed.Sindhi last updated on 23/Mar/22

	$G o o d s a y i n g!$
	Commented by mr W last updated on 23/Mar/22

	${i t}^{'} s e a s i e r t o m a k e e a s y t h i n g s$ $c o m p l e x t h a n t o m a k e c o m p l e x$ $t h i n g s e a s y .$
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