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A,B,C,D are four different physical quantities

Opera_Snapshot_2019-02-28_102013_www.entrance360.com.png A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = C In(BD) holds true Then which of the combination is not a meaningful quantity ?
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the term inside the log should be dimensionless, so BD is dimensionless

so dimension of [B]=1/[D]

and [AD]=[C]

So dimension of [A] is not equal to [C], so we cannot subtract A and C

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