1. log (x+1) - log (x-1) = log 3 2. log (x-3) + log (x+1) = log 5

1. log (x+1) - log (x-1) = log 3
    log (x+1)/(x-1) = log 3
    (x+1)/(x-1) = 3
    (x+1) = 3 (x-1)
     x+1 = 3x-3
     x-3x = -1 - 3
     -2x = -4
        x = 2

2. log (x-3) + log (x+1) = log 5
    log (x-3).(x+1) = log 5
    (x-3).(x+1) = 5
    x² + x - 3x -3 - 5 = 0
    x² - 2x - 8 = 0
    (x - 4) (x + 2) = 0
    x1 = 4; x2 = -2