\(a.\:3x-15^7=1\\ 3x=1+15^7\\ x=\dfrac{1+15^7}{3}\approx56953125\)
\(b.\:4^{2x}=64\\ 4^{2x}=4^3\\ \Rightarrow2x=3\\ x=\dfrac{3}{2}\)
\(c.\:x^5-x^3=0\\ x^3\left(x^2-1\right)=0\\ \Rightarrow\left[{}\begin{matrix}x^3=0\\x^2=1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=\pm1\end{matrix}\right.\)