c) \(5^{x+2}-5^x=6.10^2\)
\(5^{x+2}-5^x=600\)
\(5^x\cdot\left(5^2-1\right)=600\)
\(5^x\cdot24=600\)
\(5^x=600\div24\)
\(5^x=25\)
\(5^x=5^2\)
\(\Rightarrow x=2\)
d) \(\dfrac{x}{-5}=\dfrac{450}{25}\)
\(\dfrac{-x}{5}=\dfrac{450}{25}\)
\(-x=\left(\dfrac{450\cdot5}{25}\right)=90\)
\(\Rightarrow x=-90\)