5^(√(x )) − 5^(x − 7) = 100 Find the value of x. x = 9 please workings.


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Question Number 7500 by Tawakalitu. last updated on 31/Aug/16

$5^{\sqrt{x}} - 5^{x - 7} = 100$ $F i n d t h e v a l u e o f x .$ $x = 9 p l e a s e w o r k i n g s .$
	Answered by sandy_suhendra last updated on 01/Sep/16

	$i s t h i s t r u e ?$ $5^{\sqrt{x}} - 5^{x - 7} = 100$ $5^{\sqrt{x}} - 5^{x - 7} = 125 - 25$ $5^{\sqrt{x}} - 5^{x - 7} = 5^{3} - 5^{2}$ $s o 5^{\sqrt{x}} = 5^{3} o r 5^{x - 7} = 5^{2}$ $\sqrt{x} = 3 x - 7 = 2$ $x = 9 x = 9$
	Commented by Yozzia last updated on 01/Sep/16

	Commented by Yozzia last updated on 01/Sep/16

	$T h e r e a r e t w o s o l u t i o n s .$
	Commented by Tawakalitu. last updated on 01/Sep/16

	$T h a n k s s o m u c h$
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