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

First, we can rewrite the inequality as:

log0.2 $x+1.5$ / $log0.2100-log0.24$ < 1

Next, we can use the property of logarithms that states log_a $b$ - log_a $c$ = log_a $b/c$. Applying this property, we have:

log0.2 $(x+1.5)/100\ast 4$ < 1

log0.2 $(x+1.5)/400$ < 1

Now, we can rewrite the inequality in exponential form:

0.2^1 < $x+1.5$ / 400

0.2 < $x+1.5$ / 400

Multiply both sides by 400:

80 < x + 1.5

Subtract 1.5 from both sides:

78.5 < x

Therefore, the solution to the inequality is x > 78.5.