1.\:\:\log_{2}(x)+\log_{2}(x-3)=2
                                
                             
                                                    
                                                    
                                
                                    3.\:\:\log_{3}(x)-\log_{3}(x-2)=1
                                
                             
                                                    
                                
                                    4.\:\:\log_{2}(x^{2}-6x)=3+\log_{2}(1-x)
                                
                             
                                                    
                                
                                    5.\:\:\log_{10}(x)+\log_{10}(x-3)=1
                                
                             
                                                    
                                
                                    6.\:\:\log_{2}(x)+\log_{2}(x-2)=3
                                
                             
                                                    
                                
                                    7.\:\:\log_{3}(x)-\log_{3}(x-1)=2
                                
                             
                                                    
                                
                                    8.\:\:\log_{4}(x)+\log_{4}(x-6)=2
                                
                             
                                                    
                                
                                    9.\:\:\log_{2}(x+3)+\log_{2}(x-3)=4
                                
                             
                                                    
                                
                                    10.\:\:\ln(x+2)-\ln(x+1)=1