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Given logab=32\log_{a} b = \dfrac{3}{2}logab=23 and logcd=54\log_{c} d=\dfrac{5}{4}logcd=45.
If a−c=9a-c=9a−c=9 , then find the unique integral value of b−db-db−d.
Credit: 2003 Shaanxi Competition Problem 10
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