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OpenStudy (anonymous):
help me with this question
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OpenStudy (anonymous):
Jai hanuman mangal murthi
OpenStudy (anonymous):
haha ,bhaiya : jai hanuman
well my question is
OpenStudy (anonymous):
\[\log_{7} \log_{5} (\sqrt{x+5} + \sqrt{x}) = 0\]
OpenStudy (anonymous):
find the solution
OpenStudy (anonymous):
7^0 = log5 ((x+5)1/2 + x^1/2)
\[5 = \sqrt{x+1}+\sqrt{x}\]
square both sides
25= x+1 + x+ 2 (x^2+x)^1/2
25 = 2x + 1 + 2(x^2+x) ^1/2
2(x^2+x)^1/2= 24- 2x
(x^2+x)^1/2 = 12- x
square again both sides
\[x^2+x = 144 +x^2 - 24 x\]
25x =144
x =144/25
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OpenStudy (anonymous):
no option like that
OpenStudy (anonymous):
please give me options
OpenStudy (jwt625):
x=4
OpenStudy (anonymous):
\[\log _7\left(\log _5\left(\sqrt{x+5}+\sqrt{x}\right)\right)=0\]?
OpenStudy (anonymous):
2,5,-5,4
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OpenStudy (anonymous):
ah, i see what happened vicky, you accidentally put:
\[\sqrt{x+1}\]instead of\[\sqrt{x+5}\]
OpenStudy (jwt625):
\[\sqrt{x+5}+\sqrt{x}=5\]
x+5=x-10*sqrt(x)+25
\[\sqrt{x}=2\]
so x=4
OpenStudy (anonymous):
i was looking at the steps and saying, "man, i dont see anything wrong with this!" lolol
OpenStudy (anonymous):
5
-5
2
4
OpenStudy (jwt625):
x can not be negative
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OpenStudy (anonymous):
help me any1
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