To solve this inequality, we can use the property of logarithms that states if loga(b) > loga(c), then b > c.

Therefore, we have:

5x - 1 > 2x + 5

Subtracting 2x from both sides:

3x - 1 > 5

Adding 1 to both sides:

3x > 6

Dividing by 3:

x > 2

Therefore, the solution to the inequality log0.3(5x-1) > log0.3(2x+5) is x > 2.