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