Lost Logarithm II

Algebra Level 3

Which of the following relation is true for positive real numbers \(a\), \(b\) and \(x\)

A : \(\log_{ab} x =\dfrac{\log_x a\log_x b}{\log_xa+\log_xb}\)

B : \(\log_{ab} x =\dfrac{\log_a x\log_b x}{\log_xa+\log_xa}\)

C : \(\log_{ab} x =\dfrac{\log_x a\log_x b}{\log_ax+\log_bx}\)

D : \(\log_{ab} x =\dfrac{\log_a x\log_b x}{\log_ax+\log_bx}\)

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