Question

E^ln(2x+8)=x^2

Answer 1

\(\bf e^{ln(2x+8)}=x^2\\ \quad \\
\textit{recall that }\quad ln = log_e\\
\textit{keep in mind, log cancellation rule of } a^{log_ax} = x\qquad thus\\ \quad \\
e^{ln(2x+8)}=x^2\implies e^{log_e(2x+8)}=x^2 \implies 2x+8 = x^2\)

and I think you can get it from there as well

Answer 2

mind you you'd end up with a quadratic equation, and thus, 2 answers
\(\bf 0 = x^2-2x-8\)