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

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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**

3^(r-3)=3^(-1)
r-3=-1
r=2

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

`r-3=-1`

`r=2`