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Let a , b , c , d be positive integers s...

Let `a , b , c , d` be positive integers such that `(log)_a b=3/2a n d(log)_c d=5/4dot` If `(a-c)=9,` then find the value of `(b-d)dot`

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To solve the problem step by step, we will use the properties of logarithms and algebraic manipulation. ### Given: 1. \( \log_a b = \frac{3}{2} \) 2. \( \log_c d = \frac{5}{4} \) 3. \( a - c = 9 \) ### Step 1: Convert logarithmic equations to exponential form ...
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