Question

How do you solve this equation ​

Answer 1

`\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ e^(x-6)=\left( \cfrac{1}{e^4} \right)^(x+2)\implies e^(x-6)=\left( e^(-4) \right)^(x+2)\implies \stackrel{\textit{same bases, same exponents}}{e^(x-6)=e^(-4x-8)} \\\\\\ x-6=-4x-8\implies 5x=-2\implies x=-\cfrac{2}{5}`