An Interesting Logarithmic Question | If logx (Sqrt7)= -1/2 , log2 (x+1/x)=?

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Prove that `log_(ab)(x)=((log_a(x))(log_b(x)))/(log_a(x)+log_b(x))` Prove that `log_(ab)(x)=((log_a(x))(log_b(x)))/(log_a(x)+log_b(x))`
the product of the positive roots of the equation sqrt(2008).x^(logx to the base 2008)=x^2 the product of the positive roots of the equation sqrt(2008).x^(logx to the base 2008)=x^2
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