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If a^(x) = b^(y) = c^(z) = d^(w)," show...

If ` a^(x) = b^(y) = c^(z) = d^(w)," show that " log_(a) (bcd) = x (1/y+1/z+1/w)`.

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To solve the problem, we start with the given equalities: 1. \( a^x = b^y = c^z = d^w \) Let us denote this common value as \( k \). Therefore, we can express \( a, b, c, \) and \( d \) in terms of \( k \): - \( a = k^{1/x} \) - \( b = k^{1/y} \) ...
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