7 The solution to the equation \( 5 e^{x+2}=7 \) is

Step 1 ：\( 5e^{x+2}=7 \)

Step 2 ：\( e^{x+2}=\frac{7}{5} \)

Step 3 ：\( x+2=\ln{\frac{7}{5}} \)

Step 4 ：\( x=\ln{\frac{7}{5}}-2 \)