<PRE><B>Question 192247</B>
2/3e^(4x)+1/3=4

subt  1/3  both  sides  of  eqn

2/3e^(4x) =4-1/3=3 2/3=11/3

mult  both  sides  by  3/2

e^(4x)=3/2*11/3=  11/2

ln  both  sides

4x=ln (11/2)=  1.705

divide  both  sides  by  4

x=  .426

check

2/3 e^(4*.426) +1/3=4

2/3 e^(1.705)  +1/3 =4

2/3(5.5)  +1/3 =4

3 2/3 +1/3 =4

4=4</PRE>