\(c,\Rightarrow234-x^2+5=230\Rightarrow x^2=9\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
\(d,\Rightarrow44\left(3^{x+1}-3^5\right)=0\\ \Rightarrow3^{x+1}-3^5=0\\ \Rightarrow3^{x+1}=3^5\Rightarrow x+1=5\Rightarrow x=4\\ e,\Rightarrow\left(x+1\right)\left(x+2\right)=666\cdot667\Rightarrow x+1=666\Rightarrow x=665\\ f,\Rightarrow\left(3-x\right)^{15x-30}=1=1^{15x-30}\\ \Rightarrow3-x=1\Rightarrow x=2\)
c) \(234-30^0\left(x^2-5\right)=230\)
\(\Rightarrow234-x^2+5=230\)
\(\Rightarrow x^2=9\Rightarrow x=\pm3\)
d) \(\Rightarrow44\left(3^{x+1}-3^5\right)=0\)
\(\Rightarrow3^{x+1}-3^5=0\)
\(\Rightarrow3^{x+1}=3^5\)
\(\Rightarrow x+1=5\Rightarrow x=4\)
e) \(\left(x+1\right)\left(x+2\right)=444222\)
\(\Rightarrow\left(x+1\right)\left(x+2\right)=666.667\)
\(\Rightarrow\left\{{}\begin{matrix}x+1=666\\x+2=667\end{matrix}\right.\)\(\Rightarrow x=665\)
f) \(\left(3-x\right)^{15x}:\left(3-x\right)^{30}=1\left(x\ne3\right)\)
\(\Rightarrow\left(3-x\right)^{15x-30}=1\)
\(\Rightarrow15x-30=0\Rightarrow15x=30\Rightarrow x=2\left(tm\right)\)