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Solve this equation for this variable : `3^(r-3)= 1/3`

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rosey-girl | Student, Grade 12 | Valedictorian

Posted May 3, 2013 at 9:32 PM via web

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Solve this equation for this variable : `3^(r-3)= 1/3`

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oldnick | Valedictorian

Posted May 3, 2013 at 10:01 PM (Answer #1)

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3^(r-3)=3^(-1) r-3=-1 r=2
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oldnick | Valedictorian

Posted May 3, 2013 at 10:03 PM (Answer #2)

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`3^(r-3)=3^(-1)`

`r-3=-1`

`r=2`

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 4, 2013 at 3:47 AM (Answer #3)

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The equation `3^(r-3)= 1/3` has to be solved.

`3^(r-3)= 1/3`

=> `3^(r-3)= 3^-1`

As the base is the same, the exponent can be equated

=> r - 3 = -1

=> r = 3 - 1

=> r = 2

The solution of the equation `3^(r-3)= 1/3` is r = 2

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