log3(3x+4)>log3(2x+1)

To solve the given inequality, we can start by simplifying both sides of the inequality using properties of logarithms.

1. Applying the property of logarithms that states log(a) > log(b) is equivalent to a > b, we can write: 3x + 4 > 2x + 1

2. Now, we can solve the inequality: 3x + 4 > 2x + 1 3x - 2x > 1 - 4 x > -3

Therefore, the solution to the inequality log3(3x+4) > log3(2x+1) is x > -3.