Odpowiedź:
[tex]1. \: log_{x}\sqrt{2} = 1 \\ {x}^{1} = \sqrt{2} \\ x = \sqrt{2} \\2. \: log_{x} 3^{9} = 3\\ {x}^{3} = {3}^{9} \\ x = 27\\ 3. \: log_{x}7 = -\frac{1}{2} \\ {x}^{ - \frac{1}{2} } = 7 \\ x = \frac{1}{49} \\4. \: log_{x} 5=-2 \\ {x}^{ - 2} = 5 \\ \frac{1}{ {x}^{2} } = 5 \\ {x}^{2} = \frac{1}{5} \\ x = \frac{1}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \frac{ \sqrt{5} }{5} [/tex]