Solve for x : 3^x=1/3
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3
x
=
1
3
1
Move
3
1
to the numerator using the negative exponent rule
1
b
n
=
b
−
n
.
3
x
=
3
−
1
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x
=
−
1
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