`a,` `x^10=1^x`
`⇒x^10=1`
`⇒x=1`
`b,` `x^10=x`
`⇒x^10-x=0`
`⇒x(x^9-1)=0`
\(⇒\left[ \begin{array}{l}x=0\\x^9-1=0\end{array} \right.⇒\left[ \begin{array}{l}x=0\\x^9=1\end{array} \right.⇒\left[ \begin{array}{l}x=0\\x=1\end{array} \right.\)
`c,` `(2x-150)^5=(2x-15)^3`
`⇒(2x-150)^5-(2x-15)^3=0`
`⇒(2x-15)^3[(2x-15)^2-1]=0`
\(⇒\left[ \begin{array}{l}(2x-15)^3=0\\(2x-15)^2-1=0\end{array} \right.⇒\left[ \begin{array}{l}2x-15=0\\(2x-15)^2=1\end{array} \right.⇒\left[ \begin{array}{l}x=\dfrac{15}2\\\left[ \begin{array}{l}2x-15=1\\2x-15=-1\end{array} \right.\end{array} \right.⇒\left[ \begin{array}{l}x=\dfrac{15}2\\x=8\\x=7\end{array} \right.\)
