Use the like bases property to solve the equation
3
x
−
1
=
3
2
x
−
9
\displaystyle {3}^{{{x}-{1}}}={3}^{{{2}{x}-{9}}}
3
x
−
1
=
3
2
x
−
9
x
=
\displaystyle {x}=
x
=
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\displaystyle
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Enter DNE for Does Not Exist, oo for Infinity