Final answer:
To find the value of x, convert '103' from base 9 to decimal to get 12 and then divide by 314.
The solution is x = -0.0382.
Step-by-step explanation:
The question asks to solve for x in the equation 314x = 103 base 9.
Converting '103' from base 9 to decimal (base 10), we get:
1×9¹ + 0×9¹ + 3×9°
= 9 + 0 + 3
= 12.
The equation effectively becomes 314x = 12.
Dividing both sides by 314 gives us x = ⅔12, which simplifies to x = ⅔03.
Therefore, the solution is x = ⅔03 or -0.0382 in decimal form.