Verified answer

a) log2 (x – 1 ) < log2 3

<=> x - 1 < 3

<=> x < 3 + 1

<=> x < 4

b) log4 ( 3x – 2 ) > log4 ( 5x – 1 )

<=> 3x - 2 > 5x - 1

<=> 3x - 5x > 2 - 1

<=> -2x > 1

<=> x < -1/2

c) log (x + 13 ) > log 2

<=> x + 13 > 2

<=> x > -13 + 2

<=> x > -11