Answer:
x is about 0.26
Step-by-step explanation:
[tex]e^{4-7x}+11=20[/tex]
[tex]e^{4-7x}=9[/tex]
[tex]ln(e^{4-7x})=ln(9)[/tex]
[tex]4-7x=ln(9)[/tex]
[tex]-7x=ln(9)-4[/tex]
[tex]x=\frac{ln(9)}{-7} +\frac{4}{7}[/tex]
[tex]x=\frac{4-ln(9)}{7}[/tex]
[tex]x=0.2575393461[/tex]