1.

For what value (s) of x is `log_(10){999+sqrt(x^(2)-3x+3)}=3`?

Answer» Correct Answer - D
Given equation is :
`log_(10){999+sqrt(x^(2)-3x+3)}=3`
`implies999+sqrt(x^(2)-3x+3)=10^(3)=1000`
`implies sqrt(x^(2)-3x+3)=1`
`impliesx^(2)-3x+3=1`
`x^(2)-3x+2=0`
`impliesx^(2)-2x-x+2=0`
`implies x(x-2)-1(x-2)=0`
`implies (x-1)(x-2)=0`
`implies x=1,2`.


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