Solve the equation ${{\log }_{2}}\left( x+2 \right)-{{\log }_{\sqrt{2}}}\left( x-1 \right)=3$. [5]

2020 BPGHS AM S4 P2 Q3

5 marks

Solve the equation ${{\log }_{2}}\left( x+2 \right)-{{\log }_{\sqrt{2}}}\left( x-1 \right)=3$.[5]

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Answer:$x = 1.68$

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