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If \Diamond4_7=\Diamond1_{8} and \Diamond represents a digit, solve for \Diamond.

 Jun 11, 2020
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Assuming \(x_y\) means "x in base y".

 

The equation given implies 

\(7\Diamond + 4 = 8\Diamond + 1\)

The above result is obtained by changing both sides to base 10.

 

Solving, we have \(\Diamond = 3\).

 Jun 11, 2020

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