Verified answer

log5(2x+4) - log5(x-1) = 1

log5((2x+4)/(x-1)) = 1

(2x+4)/(x-1) = 5

2x + 4 = 5(x - 1)

3x = 9

x = 3

Answer: x = 3

Logbase5(2x+4) - Logbase5(x-1) = 1

logbase5((2x+4)/(x-1) = 1

5(x-1) = 2x+4

5x - 5 = 2x + 4

3x = 9

x = 3

= logbase5 ((2x+4)/(x-1))

then simplify