[latex]( \frac{1}{17} ) ^{x-1} =17 ^{x} [/latex]

[latex]( \frac{1}{17})^{x-1} =17^{x}\\\\17^{1-x}=17^{x}\\\\1-x=x\\\\2x=1\\\\x=\frac{1}{2}[/latex]