Question

Find all solutions (if they exist) to the following logarithmic equation: \log _{3} x^{4}-\log _{9} x^{2}+\frac{3}{2} \log _{27} \sqrt{x}=-3 x=3^{6 / 7} \text { b) } x=\frac{18}{7} x=-\frac{18}{7} \text {

d) Has no solutions since } x \text { must always be positive } x>0 \text { . } \text { e) }-\frac{6}{7} \text { Of) } x=\sqrt[7]{729} \text { g) None of the answers given here. } x=\frac{1}{\sqrt[7]{729}} x=\frac{-1}{\sqrt[7]{729}}

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