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Consider the equation log(5)[(2+sqrt5)^(...

Consider the equation `log_(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log_(1//5)2.` which of the following is True?

A

The equation has integral roots only

B

The absolute value of the difference of the roots of the equation is 2.

C

The sum of the roots of the equation is 2.

D

The roots are equal in magnitude.

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