ANSWER
x = 9
EXPLANATION
By the property of product of exponents with the same base, we know that we can rewrite the product as the base raised to the sum of the exponents,
[tex]8^2\cdot8^x=8^{2+x}[/tex]
And we know that the result is 8¹¹, thus,
[tex]2+x=11[/tex]
To solve for x, subtract 2 from both sides of the equation,
[tex]\begin{gathered} 2-2+x=11-2 \\ x=9 \end{gathered}[/tex]
Hence, x = 9.
