what is the value of k?
\(6^9\cdot6^x=6^2\ \ \ |use\ a^m\cdot a^n=a^{m+n}\\\\6^{9+x}=6^2\iff9+x=2\ \ \ |subtract\ 9\ from\ both\ sides\\\\\boxed{x=-7}\)
6^9 . 6^x = 6^26^(9+x) = 6^29+x = 2x = 2 - 9x = -7