# 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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