ЯсноПонятно24

To solve this inequality, we first need to simplify the expression inside the logarithm:

1/26(26-2x) > 0

(26-2x)/26 > 0

Now, we need to find the critical points where the expression equals 0:

26-2x = 0 -2x = -26 x = 13

Now we can create a number line and test the intervals between the critical points:

Test x = 0: (26-2(0))/26 = 26/26 = 1 > 0

Test x = 13: (26-2(13))/26 = 0/26 = 0

Test x = 14: (26-2(14))/26 = -2/26 = -1/13 < 0

Therefore, the solution to the inequality is x < 13.