Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]6^5 = 6^x+6^4\\6^5 = 6^{x+4}\leftarrow \text {Apply product rule.}\\5=x+4 \leftarrow \text {Apply rule: If } a^{f(x)}=a^{g(x)}\text{, then} f(x) = g(x)\\5-4=x+4-4\\\boxed {x=1}[/tex]
