Chapter 8, Problem 11PT

To determine

To find: The solution of the given equation.

Answer to Problem 11PT

The solution of the given equation is $x>0.718$

Explanation of Solution

Given:

The given equation is,

  $\ln {\left(x+2\right)}^2>2$

Calculation:

Solve the given equation.

  $\begin{array}{l}\ln {\left(x+2\right)}^2>2\\ 2\ln \left(x+2\right)>2\\ \ln \left(x+2\right)>1\\ x+2>e^1\end{array}$

Solve further as,

  $\begin{array}{l}x+2>2.718\\ x>0.718\end{array}$

Thus, the solution of the given equation is $x>0.718$