To solve this problem we need to apply the logarithmic product function, which is given below:
[tex]xe^x\ge7[/tex]When we apply the logarithmic product function on "xe^x" the result is equal to x, so we have:
[tex]\begin{gathered} W(xe^x)\ge W(7) \\ x\ge W(7) \end{gathered}[/tex]To find the value of "W(7)", which is the product logarithmic function we need to use a graphic calculator and the result is:
[tex]x\ge1.52[/tex]