Answer:
x = - 7
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
[tex]6^{9}[/tex] × [tex]6^{x}[/tex] = 6², then
[tex]6^{(9+x)}[/tex] = 6²
Since the bases on both sides are equal then equate the exponents
9 + x = 2 ( subtract 9 from both sides )
x = - 7