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Mathematics 21 Online
OpenStudy (anonymous):

WHAT about this one solve for x uploaded

OpenStudy (anonymous):

OpenStudy (anonymous):

X^2/x+3=4 X^2=(x+3)*4 X^2=4x+12 X^2-4-12=0 (X-6)(x+2) x=6,-2

OpenStudy (anonymous):

\[\log _{2}x ^{2} - \log_{2}(x+3) =2\] \[\log_{2}(x^{2}/ (x+3) ) =2\] \[x^2/ (x+3) = 2^2 = 4 \] x^2 = 4(x+3) x^2= 4x +12 x^2 -4x -12= 0 (x-6)(x+2) = 0 => x=6, x=-2

OpenStudy (anonymous):

^ incorrect. x = -2 is not a solution, since logarithms of negative numbers aren't real numbers. x = 6

OpenStudy (anonymous):

it's one of the solution, but forgot the step of condition, and we have to test it after we get the solutions to pick up which one will work :) ...hello James

OpenStudy (anonymous):

yep, it's an extraneous solution log2(-2) is undefined

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