Which expression or equivalent to the one below Check all that apply Log ^9 1 • log^9 81

1 answer:

5 0

$\log_91\cdot\log_981=\log_99^0\cdot\log_99^2=0\log_99\cdot2\log_99=0\cdot1\cdot2\cdot1=0\\\\Used:\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\---------------------\\\\\log_a1=0\ because\ a^0=1,\ therefore\\\\\log_91\cdot\log_981=0\cdot\log_981=0$

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By using the method of completing the square, we have:

$x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}$