Question

Using the properties, complete each equation and solve for the variable.-equation is in the picture

Answer 1

x = 9

Step-by-step 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,

`8^2\cdot8^x=8^(2+x)`

And we know that the result is 8¹¹, thus,

`2+x=11`

To solve for x, subtract 2 from both sides of the equation,

`\begin{gathered} 2-2+x=11-2 \\ x=9 \end{gathered}`

Hence, x = 9.