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Mathematics 8 Online
OpenStudy (anonymous):

help me with this question

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

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

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

OpenStudy (anonymous):

help me any1

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