Question

What is the value of this equation

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation is :

$e^{3x+6} =8$

taking log on both side

$lne^{3x+6}=ln8$

$(3x+6)lne=ln8$

Plugging the value of ln e as 1

$3x+6=ln8$

Subtracting 6 in both sides

$3x+6-6=ln8-6$

$3x=ln8-6$

Dividing 3 in both sides

$x=\frac{ln8-6}{3}$    ........................  Answer

Hope it will help :)