17 3^72cdot ((1)/(3))^xcdot ((1)/(3))^sqrt (x)gt 1

To solve the inequality , we can simplify the expression and solve for .First, let's rewrite the expression using the properties of exponents: Now, we can combine the exponents: So, the inequality becomes: Since , we know that the exponent must be greater than 0: Now, let's solve this inequality for : Rearranging the terms, we get: Let . Then, the inequality becomes: Rearranging the terms, we get: This is a quadratic inequality. We can solve it by factoring: The solutions to this inequality are: Since , we can substitute back to get: Squaring both sides, we get: Therefore, the solution to the inequality is .