Question

Solve the exponential equation. Express your solutions in exact form only. Please show all of your work. e^2x-9e^x-20=2

Answer 1

start with
\[e^{2x}-9e^x-22=0\] then solve the quadratic equation

Answer 2

\[(e^x-11)(e^x+2)=0\]
\[e^x-11=0\]
\[e^x=11\]
\[x=\ln(11)\]
\[e^x+2=0\]
\[e^x=-2\] impossible since
\[e^x>0\]