Question

What is the value of x if e^3x+6 =8
x=ln8-6/3
x=ln6-8/3
x=ln8+6/3
x=ln6+8/3

Answer 1

Assuming the equation is e^(3x+6) = 8:

Take natural log: 3x + 6 = ln 8
3x = ln 8 − 6
x = (ln 8 − 6)/3

Since ln 8 = 3 ln 2, x = ln 2 − 2.

(So the correct choice is x = (ln 8 − 6)/3.)