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If 314x = 103 base 9 Find x

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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.

User AlexLordThorsen
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