What is the value of $x$ if $6^x + 6^x + 6^x + 6^x + 6^x + 6^x = 6^6$?
I notice that the left-hand side of the equation has six terms that are all equal to $6^x$, so I can rewrite it as $6 \times 6^x = 6^6$. Now I can divide both sides by $6$ to get $6^x = 6^5$. Since the bases are the same, I can conclude that the exponents must be equal as well, so $x = 5$. 