Log2(3x+2)-log2(1-2x)>2

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To solve this inequality, we need to use the properties of logarithms.

First, we can rewrite the inequality using the properties of logarithms:

log2((3x+2)/(1-2x)) > 2

Next, we can rewrite the inequality as an exponential equation:

(3x+2)/(1-2x) > 2^2

(3x+2)/(1-2x) > 4

Now, we can solve for x:

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

3x + 2 > 4 - 8x

11x < 2

x < 2/11

Therefore, the solution to the inequality log2(3x+2)-log2(1-2x) > 2 is x < 2/11.