a) \(2^x-15=17\)
\(2^x=17+15=32=2^5\)
\(\Rightarrow x=5\)
b) \(\left(7x-11\right)=25.5^2+200\)
\(7x=825+11=836\)
\(x=\dfrac{836}{7}\)
c) \(x^{10}=x\)
\(x^{10}-x=0\)
\(x\left(x^9-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)