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14c find the domain of the following equations and solve them

14c find the domain of the following equations and solve them-example-1
User Pocheptsov
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1 Answer

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\log _6(x^(-2)+2)=1
\log _6((1)/(x^2)^{}+2)=1

first the domain of the equation is

The domain would be all the real numbers except 0

now, the solution of the equation is:


\frac{\ln((1)/(x^2)^{}+2)}{\ln6}=1
\ln ((1)/(x^2)^{}+2)=\ln 6
(1)/(x^2)+2=6^{}
(1)/(x^2)=4
x^2=(1)/(4)
x=\sqrt[]{(1)/(4)}=\pm(1)/(2)

14c find the domain of the following equations and solve them-example-1
User Language Lawyer
by
5.9k points
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